Question

Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.

(4,2) ; x = -3

A. Y = 2

B. Y = 2x + 4

C. Y = 4x

D. Y = 4

Answer 1

Equation of a line passing through point (x1, y1) with slope m is given by y - y1 = m(x - x1)
For parallel lines, the slope of the required line is equal to the slope of the given line.
x = -3 is a vertical line, therefore, the required line will also be a vertical line since they are parallel.
Since the required line passes through point (4, 2), the equation of the required line is x = 4.