Slope intercept form

Question

What is The equation in slope intercept form of the line that is parallel to Y= -9/5x - 5/2 and contains (-6,-2)

Answer 1

Another way to silve is to use your points and solve for b.

y = mx + b

-2 = (-9/5)(-6) + b

-2 = -54/5 + b

-10/5 = -54/5 + b

b = -44/5

y = (-9/5)x - 44/5

Answer 2

Parallel lines have the same slope. So the slope of the new line is -9/5

When given two points or a slope and a point, use the point-slope form of a line:

y - y₀ = m(x - x₀) where m is the slope of the line and (x₀, y₀) is a point on the line.

Use this equation, substitute in the values from the problem and solve for y:

y - (-2) = (-9/5) (x - (-6)) = (-9/5)x + 54/5 --> y = (-9/5)x + 54/5 - 2 = (-9/5)x + 44/5