What is the formula or what is needed to solve these?

Question

Write the equation of the line in slope intercept form that passes through the point (-1, 7) and m=-4?

Write the equation of the line in slope intercept form that passes through the points (-6, 1) and (-3, 7)?

Answer 1

a) y = mx + b

7 = -4(-1) + b

7 = 4 + b

b = 3

y = -4x + 3

b) First calculate the slope

m = (7 - 1)/(-3 - -6)

m = 6/3 = 2

Now we can use either point and do as we did before.

y = mx + b

1 = 2(-6) + b

1 = -12+ b

b = 13

y = 2x + 13

Now check using the other point.

7 = 2(-3) + 13

7 = -6 + 13

7 = 7 check