Question

Write the equation of the line that passes through the points (6,-3) and (1,7) in the form y = mx + b.

m=
b=​

Answer 1

y = -10/5x + 9

m = -10/5

b = 9

Answer 2

m= 2
b= 5

the difference between the x-values is 5 and the difference between the y-values is 10. Since it’s rise over run, the m-value (slope) would be 10/5. You then simplify to get 2.

To find the b-value(y-intercept) you can find the distance between one of the point and the y-axis. using the second point (1,7) the difference is 1. Then since it’s only one away, you subtract 2 from the y-value. That’s because the slope is 2 (2/1). You end up with the point (0, 5). sorry if that’s confusing