Answer:
a = 4
Explanation:
Parallel lines have the same slope.
y + 2x + 3 = 0 in the slope intercept form of the line is
y = -2x - 3 . I can see from this form that the slope is -2. Use the point given (3, -4) and the slope -2 to write the new equation in the slope intercept form. We need to find b.
y = -4 from the point given (3, -4)
x = 3 from the point given(3,-4)
m = -2 from the other equation
y = mx + b
-4 = (-2)3 + b
-4 = -12 + b Ad 12 to both sides
-4 + 12 = -12 + 12 + b
8 =b
Equation of the new line
y = mx + b
y = -2x + 8
ton find a, substitute -2 for x
y = -2(2) + 8
y = -4 + 8
y = 4
a = 4