help?
slope is 8
Deal with your parenthesis first then make sure you have your y variable alone on it's own side Then combine like terms - if necessary Make sure it is in slope intercept form: y = mx + b
What is x?
Finding the slope in an equation like this you would have to use the formula y=mx+b
You would have to plot in the equation that you have into it.
So first things first, you have parenthesis so you need to distribute. y-7=8(x-14) Distribute the 8 to x and -14
so 8x-14?
No, what's 8 × -14?
You forgot to distribute 8 to -14
You only distributed the 8 to x which is how you got 8x. But remember there are 2 terms inside the parenthesis. Whatever is inside you have to multiply with the # outside of it
So 8 x -14 should give you -112 Now your equation should look like this: y - 7 = 8x -112
so your equation is y-7 =8(x-14) and the equation you have to use is y=mx+b in the equation you would have to use is the m equals the slope and the b would be the y-intercept. In this case you won't have to solve for anything because the slope is already in your equation. as I said m=slope and the m in your equation is 8 so, you don't have to solve for anything.
How did that just turn into -112?
-112*
so i do nothing with the x?
Nope you'll leave it
so the x is multiplication ?
But were not done yet Y has to be by itself so we need to add 7 to -7 to cancel it out Whatever you do to one side you do to the other yada yada yada... And it should look like y=8x-105
but you just times it tho?
Times what?
You were only multiplying because you were distributing that's how we got 8x and -112
distributing? whats that?
Oh my
Distributing is when you equally give out the same quantity to each number. For example: I have 3 cookies and I have 6 friends. I distribute the cookie to each friend so that way each person gets the same amount... get it? ;-,
so i cut the cookie in half?
Egzaclee
You equally give each friend the right amount if cookie
Kinda like what we did with the 8. We distributed it to every number inside the parenthesis. When you distribute your multiplying
But the parenthesis if i cut it in half it becomes 7?
Where did u get 7?
Ok honestly it doesn't matter The slope is literally the number attached to x What number is attached to x???
8?
Yes child
but how do we know if its attached to 14? or 8?
Your distributing 8 not 14. The number outside the parenthesis is what your "sharing" to every number inside it
So your sharing 8 with x and 8 with -14
Oh so no matter what, whatever number is the parenthesis is never distributed?
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : y-7-(8*(x-14))=0 (y - 7) - 8 • (x - 14) = 0 y - 8x + 105 = 0 Solve y-8x+105 = 0 we have here an equation of a straight line. Such an equation is usually written y=mx+b "y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis. In this formula : y tells us how far up the line goes x tells us how far along m is the Slope or Gradient i.e. how steep the line is b is the Y-intercept i.e. where the line crosses the Y axis The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-8x+105 = 0 and calculate its properties Notice that when x = 0 the value of y is -105/1 so this line "cuts" the y axis at y=-105.00000 y-intercept = -105/1 = -105.00000 When y = 0 the value of x is 105/8 Our line therefore "cuts" the x axis at x=13.12500 x-intercept = 105/8 = 13.12500 Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -105.000 and for x=2.000, the value of y is -89.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -89.000 - (-105.000) = 16.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN) Slope = 16.000/2.000 = 8.000 The slope is (8)
(y - 7) - 8 • (x - 14) = 0 y - 8x + 105 = 0 So 14-(y-7)-6x=0?
What? No the second one is correct but make sure that "-" is a "="
But yes your slope would be 8 because it is the number attached to your variable "x" Your slope is also known as m y = m x + b
I solved it
It was already solved he just got confused
Got ya
Do you have anymore questions?
@tetsxpreme
Nice job answering the question, jay and depp but to simply put it, you could of answered this question without doing any math. In algebra, you need to know your formulas. And this equation was in `point slope form.` \[y - y _{1} ~ = m(x-x _{1})\] you already know that m is the `slope` so what ever the `m-value` is, in the question, would be your slope :)
Thank you so much guys
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