Answer:
Option d is the correct answer
Explanation:
The slope-intercept form of an equation for a line passing through given points can be represented as
y = mx + c
Where
Slope, m = (change in value of y on the vertical axis) / (change in value of x on the horizontal axis)
c = y-intercept
We want to find the slope-intercept form of an equation for the line that passes through (–1, 2) and is parallel to y = 2x – 3
For two lines to be parallel to each other, the slopes must be equal.
For y = 2x – 3
Slope,m = 2 (comparing with the slope intercept form stated above).
This means that the slope of the line
that passes through (–1, 2) is also 2
To find the y-intercept, c of this equation,
2 = 2 × - 1 + c
2 = -2 + c
c = 2+2 = 4
The equation is
y = 2x + 4