The equation of the parallel line is: y = 1/2x + 5.
What is the Equation of Parallel Lines?
The slope (m) of parallel lines are the same.
Given the equation, y = 1/2x - 7, the slope (m) is 1/2. Therefore, the slope of the line that passes through (-4, 3) would be m = 1/2.
To find the y-intercept (b), substitute m = 1/2 and (x, y) = (-4, 3) into y = mx + b.
3 = 1/2(-4) + b
3 = -2 + b
3 + 2 = b
5 = b
b = 5
Substitute m = 1/2 and b = 5 into y = mx + b:
y = 1/2x + 5
The equation is: y = 1/2x + 5.
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