Answer:
C. [tex] y = -\frac{1}{2}x - \frac{7}{2} [/tex]
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:
[tex] y = -\frac{1}{2}x - \frac{7}{2} [/tex]
