Question

write an equation in slope-intercept form for the line parallel to y=-7x-9 that passes through the point (4,-9)

Answer 1

Answer:

7x = y + 37

Step-by-step explanation:

y = 7x - 9

Differentiating y with respect to x, we have as follows:

dy/dx = m = 7 ( where m is the slope)

Using the formula y - y1 = m(x - x1) to obtain the equation of line passing through point (4.-9)

y + 9 = 7(x - 4)

y + 9 = 7x - 28

∴ 7x = y + 37