through: (4,-2), parallel to y=3/4x-4

Question

write the slope-intercept form of the equation of the line described

Answer 1

The parallel line has slope 3/4

The equation of the line with the same slope passing through (4,-2)

is y-(-2)=3/4(x-4)

y + 2 =3x/4 -3

y = 3x/4 - 5

Answer 2

Parallel means it has the same slope as y = (3/4)x - 4. The slope is the coefficient in front of the "x" so 3/4.

You can start by using the point-slope form of a line which is:

y - y₁ = m(x - x₁) where "m" is the slope, and the point (x₁, y₁) is a point on the line. In this case, x₁ = 4 and y₁ = -2 so plug those into the equation:

y - (-2) = (3/4)(x - 4) then simplify:

y + 2 = (3/4)x - 3

The slope-intercept form is:

y = mx + b

So you need to turn your equation into this form by subtracting 2 from both sides:

y = (3/4)x - 5