algebra quadratic form

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)?

Please show each step in detail

Answer 1

y-7 = -4(x+1) in point slope form

y = -4x-4 +7

y = -4x +3 in slope intercept form

slope = -4, intercept = 3

(-6,1), (-3,7) have a line through them with slope

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

2 = (y-1)/(x+6)

y-1 = 2x+12

y = 2x +13 in slope intercept form

slope = 2, intercept = 13