Question

What is the slope for (3,−1) and (4,7)

Answer 1

The values of the slope and y-intercept are m=8 and b=−25

m=8

b=−25

Answer 2

To find the slope you would use the slope formula since you have two point coordinates. The slope formula is:

$\frac{y_2-y_1}{x_2-x_1}$, where y2 and y1 are the y coordinates of the two points and x2 and x1 are the x coordinates of the two points.

Substitute in 7 and -1 for y2 and y1; substitute in 4 and 3 for x2 and x1. Now your expression should look like:

$\frac{7-(-1)}{4-3}$

Subtract -1 from 7, which is basically the same as 7 + 1. Then subtract 3 from 4. Once you complete these steps you can rewrite your fraction.

$\frac{7+1}{4-3} =\frac{8}{1} =8$

The final answer is 8 after substituting the appropriate coordinates into the slope formula. This means that the slope of the line passing through the points (3, -1) and (4, 7) is 8.

The answer is: the slope of the line is 8.