Question

What are the slope, m, and y-intercept, b, of a line that passes through the points

(3,-1) and (7,-5)?

Answer 1

The answer is 1

Explanation:

use slope formula!

`m= (y_(2)-y_(1))/(x_(2)-x_(1) )`

3 is xsub1

-1 is ysub1

7 is xsub2

-5 is ysub2

substitute and solve!

`m= (-5-(-1))/(7-3)\\= (-5+1)/(4)\\= (-4)/(4)\\= -1`

slope is 1

hope this helps!

Answer 2

Slope would be m= -1, y-int is 2.

Explanation:

To find slope, use (y2-y1/x2-x1) Plugging this in, we get (-5-(-1)/(7-3). This can be simplified to -4/4, which is -1. After we find slope, we plug in one of the points to find be. Using (7,-5), y=-5 and x=7. So, -5=7(-1)+b. -5=-7+b. Add 7 to both sides, b=2. Therefore, the entire equation is y=-x+2.