Question

7. Find the slope-intercept form of the equation of the line that passes through

(-1, 5) and is parallel to 4x + 2y = 8..
A. y = -2x +9
B. y=2x-9
C. y = 4x-9
D. y=-2x + 3

Answer 1

D.
`y=-2x+3`

Explanation:

1. Isolate y to convert the original equation to slope-intercept form
`(y = mx+b)`:

`4x+2y=8\\ 2y=8-4x\\ y = (8-4x)/(2) \\y = -2x+4\\`
2. To find the equation parallel to a linear equation, use the original slope and plug in the given point to find b.

We know the slope of the original equation is m = -2, found in step (1).

`y = -2x+ b\\(5) = (-2)(-1) + b \\5-2 =b \\3 = b`

3. Assemble the final equation:

`y = -2x + 3`