The equation of the line that is parallel to the given line and has an x-intercept of 3 is y = 2/3x - 2
<h3>What is the equation of the line that is parallel to the given line and has an x-intercept of 3?</h3>
The given parameters are
Point =(0, -1) and (3, 1)
Calculate the slope using
m = (y₂ - y₁)/(x₂ - x₁)
Where m represents the slope
So, we have:
m = (1 -- 1)/(3 -0)
Evaluate
m = 2/3
Parallel lines have equal slopes
So, the slope of the other line is
m = 2/3
Linear equations are represented as:
y = mx + c
Where m represents the slope and c represents the y-intercept
So, we have
y = 2/3x + c
An x-intercept of 3 means
0 = 2/3 * 3 + c
So, we have
c = -2
Substitute c = -2 in y = 2/3x + c
y = 2/3x - 2
Hence, the equation of the line that is parallel to the given line and has an x-intercept of 3 is y = 2/3x - 2
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