Question

On a coordinate plane, a line goes through (0, negative 1) and (3, 1). a point is at (negative 3, 0). what is the equation of the line that is parallel to the given line and has an x-intercept of â€"3? y = two-thirdsx 3 y = two-thirdsx 2 y = negative three-halvesx 3 y = â€"three-halvesx 2

Answer 1

The equation of the line that is parallel to the given line and has an x-intercept of 3 is y = 2/3x - 2

What is the equation of the line that is parallel to the given line and has an x-intercept of 3?

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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