Question

Which of the following is the slope between the two points (-5, -1) and (6, -4)?

Answer 1

The slope between two points is equal to the difference in their y values minus the difference in their x values -
\[\Delta y / \Delta x\]

It doesn't matter which point you use first, but you need to be consistent. So I'll use the point (6, -4). The x value of this point is 6, the y value is -4. So the slope is then:

Change in y = -4 - -1 = -4+1=-3
Change in x = 6 - -5 = 6+5=11

So the slope is -3/11.

Answer 2

Consider the line that passes through the points (4, -3) and (2, -1). Below are two different equations. Identify the true statement concerning both equations.

Equation #1 Equation #2
y - 3 = -1(x + 4) y - 1 = -1(x + 2)

Answer 3

@vinnv226

Answer 4

^ I'm sorry, in my first reply I said "minus" when I meant "divided by" in the first line ^

Answer 5

ohh okay ")@vinnv226

Answer 6

Could you explain what this new question is looking for? Is there anything more to the problem? I would guess you're being asked to find the equation of the line that passes through those two points but I'm a little confused by the wording you used.

Answer 7

Thatss all it tells me to do :oo

Answer 8

@vinnv226

Answer 9

I'm not quite sure what the question is asking. If you distribute and solve each of those two equations you'll find that they, in fact, are the same graph.

Answer 10

im i lovejusti25 i got banned lmao @vinnv226

Answer 11

Which of the following is the slope between the two points (1, 5) and (6, 4)? @vinnv226

Answer 12

This is solved the same way as the original problem, that is, by dividing the change in y by the change in x.

Change in y = 4-5=-1
Change in x= 6-1=5

So the slope is -1/5.

Answer 13

can you help with more ? I have 3 tests to take that depend on my grade -.- @vinnv226

Answer 14

Choose the equation below that represents the line that passes through the point (2, 4) and has a slope of 3.

Answer 15

@vinnv226

Answer 16

One way to represent a line is the following equation:
\[y - y _{1} = m(x-x_{1})\]

Where x1 and y1 are the coordinates of a point on that line, and m is the slope. So, since you know the slope is 3 and a point on the line is (2,4), you can plug in m=3, x1=2 and y1=4, and get:
\[y-4 = 3(x-2)\]

And now you just need to simplify.

Answer 17

idk how @vinnv226

Answer 18

Well, often when we simplify, we get it in a y= form. So, on the right side, we'll distribute the 3:
\[y-4=3x-6\] And then we add 4 to both sides, and we're done:
\[y=3x-2\]

Answer 19

Choose the slope-intercept equation of the line that passes through the point (6, 4) and is parallel to y =1/3 x - 3. @vinnv226

Answer 20

For two lines to be parallel, they must have the same slope. So the slope of our answer is going to be 1/3. Then, since we have the point (6,4) we can use the same equation we used above and plug in:
\[y-4=(1/3)(x-6)\]Try practicing simplifying these types of equations to get them in y= forms.

Answer 21

its hard @vinnv226