ALGEBRA 1 HELP: (Pictures Included) Find the x- and y-intercepts of the graph of each equation. (#9, and 13) Draw a line with the given intercepts. (#15) Tell whether the graph is a vertical line or a horizontal line. (#23) Write the equation in standard form using integers. (#31, and 33)
(pg. 331, #9, 11, 13, 15, 19, 23.)
(pg. 345, #6, 7, 8, 15, 16.)
what do you need help with first
hello?
I need help with the very first ones I posted. Lets just start on #9, 13.
@dan815 Are you still there?
finding the y-intercept, you plug in 0 for x and solve
for the x-intercept, you try to factor and solve for both x values
Could you like show me an example? Sorry I'm just really bad a this stuff.
OK, we will use one of your problems
y intercept x - 2y = 2 0 - 2y = 2 Divide both sides by 2 y = 1 (0, 1) x intercept x - 2(0) = 2 x - 0 = 2 x = 2 (2, 0)
does that make sense to you?
@jtryon it does make sense.
So what would I do from there?
@marissalovescats could you possibly help me with these final questions, if it's not a bother? :) Please and thank you.
Which ones?
Well I already got help with #9 on the first set, 13 is too complicated for me to do on my own, so probably just for now, the first set listed at the very top.
So 13?
Yeah 13
Heres a couple definitions for you: 1. Parallel lines have the same slope and different y intercepts 2. Perpendicular lines have reciprocal slopes and different y intercepts. 3. Neither has well... slopes that aren't either of these to each other. Which one do you thing 13 is?
Let me know if you don't know what reciprocal slopes are.
Could you please respond to me? Do you not need help anymore or what
I'm not sure which one is 13, and I did but I forgot. Sorry I do still need help, my internet it just messing up
Okay, that's fine. Well if you scroll up and click on the pictures you posted you could see what number 13 is. It's asking if the two equations given are parallel, perpendicular, or neither.
I'm guessing one with perpendicular lines and reciprocal slopes.
What do you mean?
I'm honestly not sure at all.
Okay... you asked me to help you with 13 right?
Yes
Okay and I explained to you what makes lines parallel perpendicular or neither, so what would 13 be? And I asked if you needed an explanation on what a reciprocal slope is
Yes I do need a explanation.
I forgot to mention perpendicular lines have negative reciprocal slopes. So, how to do that is doing -1/slope so if we have 2 as a slope our negative reciprocal would be -1/2 If we had 3/4 as a slope, the negative reciprocal would be -4/3. Make sense?
So, is number 13 parallel, perpendicular, or neither?
I believe it is perpendicular.
Great job! Any others?
No I meant the ones above that! Lol, I was wondering where you got that parallel, perpendicular, or neither stuff from.
Are you still there? I really need help with these? If you need clarification on which ones I need, we go by one set at a time, if it's easier.
The very first link you provided: To find x intercept, put y = 0 in the equation and solve for x. To find y intercept, put x = 0 in the equation and solve for y. For example, #9) x - 2y = 2 For x intercept, set y = 0 and solve for x: x - 0 = 2. x = 2 is the x-intercept. For y intercept, set x = 0 and solve for y: 0 - 2y = 2. y = -1 is the y-intercept.
I got that already, but 13 is where I'm stuck
The person who answered #9 before made a mistake in the sign for the y-intercept.
oh okay. Thanks for correcting that.
#13) -5x + 3y = -7.5 For x intercept, set y = 0 and solve for x: -5x + 0 = -7.5. x = -7.5/(-5) = 1.5 is the x-intercept. The point is (1.5, 0) For y intercept, set x = 0 and solve for y: 0 + 3y = -7.5. y = -7.5/3 = -2.5 is the y-intercept. The point is (0, -2.5)
For #15, on the graph paper mark the point -1 on the x-axis. The point should be to the LEFT of the origin. This point will represent the x-intercept of -1. On the negative y-axis mark the point -4. The point should be BELOW the origin. This point will represent the y-intercept of -4. Draw a straight line passing through the above two points and that will be the graph of the line.
Could you possibly draw an example of 15 for me? Please?
|dw:1401412320574:dw|
Sorry I had to run to the store for my uncle. But it looks like @ranga's got it :)
y = constant will be a horizontal line. x = constant will be a vertical line. Use this info to answer #23.
Standard form of a straight line is: Ax + By = C #31) y = 2x + 5 subtract y from both sides: 0 = 2x - y + 5 subtract 5 from both sides: -5 = 2x - y. Thus, the standard form of the equation is: 2x - y = -5 Put #33 also in the form Ax + By = C. I have to go now.
Thank you for your help! :)
@marissalovescats So I need your help once again, haha. Since you already helped me with 13 on the second set, and your explanation helped me do #15 on my own, I just need help with (#9, 11, 19, 23.) Please and thank you.
Actually just 19 and 23.
Okay I can do that lol
Actually we can skip those too, haha. I just need help with the final set of problems the image is up there with them. (#6, 7, 8, 15, 16.)
Okay so for 19, they give you an equation and the slop of that equation is -3 It also says the new line you're going to create is perpendicular to the one given. So this new line will have a slope that is a negative reciprocal of -3. Which would be what?
Oh.. okay
Okay for 6, the first thing you want to know is the basic absolute value graph: y=abs(x) looks like this: |dw:1401413548922:dw|
okay makes sense, am I going to have to draw that?
To shift this graph left or right, you have a number inside the absolute value bars along with the x. (But remember it's like finding a vertex) If it's y=abs(x-2) then the graph will actually be on +2 like this: |dw:1401413680777:dw|
If you want to move the graph up or down, the number is outside the absolute value bars and is true to it's meaning. So if we had y=abs(x)+1 we would have: |dw:1401413744433:dw| Make sense?
So, in number 6, how would that graph be related to y=abs(x)?
I think it would be related to y=abs(x) by the second one, sorry I'm kind of confused still.
I'm sorry if I'm being difficult, but I'm just really terrible at this sort of stuff.
Yes you are right. It's related to it because it's the same graph, just shifted up 3 units. The equation of that graph is y=abs(x)+3
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