Question

SOMEONE PLEASE HELP!! i’ll give brainliest

Answer 1

Answer:

C. $y = -\frac{1}{2}x - \frac{7}{2}$

Step-by-step explanation:

We can get the equation in slope-intercept form if we know the slope (m) and the y-intercept (b).

Since the line is parallel to -2x + 4y = 8, it will have the same slope as the equation.

Converting -2x + 4y = 8 into the slope-intercept form, we would have:

4y = -2x + 8

y = -2x/4 + 8/4

y = -½x + 2

Theregore, slope, m, of the line that is parallel bro 4y = -2x + 8 is -½.

To find the y-intercept, b, substitute (x, y) = (-5, -1) and m = -½ in y = mx + b.

Thus:

-1 = (-½)(-5) + b

-1 = ⁵/2 + b

-1 - ⁵/2 = b

(-2 - 5)/2 = b

-⁷/2 = b

b = -⁷/2

To get the equation of the line, substitute b = -⁷/2, and m = -½ in y = mx + b.

The equation would be:

$y = -\frac{1}{2}x - \frac{7}{2}$