Answer:
y = -4x + 12
Step-by-step explanation:
For a line to be parallel, it needs to have the same slope.
Point intercept form: y - y₁ = m (x - x₁)
Where y and x are just kept as y and x, y₁ and x₁ are the parts of a coordinate, and m = slope.
So, in order for the line to be parallel, it needs to have the same slope as the first equation. The slope of the line (which is the "m" in y = mx + b) is..
4x + y = 7
y = -4x + 7
So, m, or the slope, is -4.
Plug this, along with the coordinate the problem gives you into point-intercept form.
y - y₁ = m (x - x₁)
y - 8 = -4 (x - 1)
Simplify.
y - 8 = -4x + 4
Add 8 to both sides.
y = -4x + 12
