Question

Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation

(-9,- 4); y = - 3x + 5
Write an equation for the line in slope-intercept form
(Simplify your answer. Use integers or fractions for any numbers in the equation)

Answer 1

Explanation:

the general slope intercept form is

y = ax + b

a is the slope. a parallel line must have the same slope.

in our case here it is -3.

b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).

we get b by using the point coordinates in the equation and solve for b :

-4 = -3×-9 + b = 36 + b

b = -40

so, the full equation of the parallel line is

y = -3x - 40