Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{3}{4}[/tex] x - 4 ← is in slope- intercept form
with slope m = [tex]\frac{3}{4}[/tex]
Parallel lines have equal slopes
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
Here (a, b ) = (- 1, 7 ) , then
y - 7 = [tex]\frac{3}{4}[/tex] (x - (- 1) ) , that is
y - 7 = [tex]\frac{3}{4}[/tex] (x + 1) → A