On a coordinate plane, a line goes through (negative 3, negative 3) and (negative 1, 5). What is the equation of the line parallel to the given line with an x-intercept of 4? y = - x +

y=4x-16

Explanation:

The general form of the equation of a line is: y=mx+x, where m is the gradient and c is the y-intercept.

Given points  (-3,-3) and (-1,5)

We are to find the equation of the line parallel to the given line with an x-intercept of 4.

First, we determine the value of the gradient of the line.

Gradient,

Two lines are parallel if their gradients are equal.

The gradient of the line parallel to the given line

Since the x-intercept of the new line is 4, a point on the new line,

Substituting into the equation of a line: , we have:

Therefore, the equation of the line is: y=4x-16



y = 4x-16

Explanation:

The coordinate points are: (-3,-3)(-1,5)

to get the slope of the line, we use the formula

since the two lines are parallel, it means that they have equal slopes.

hence, the slope of the second line = 4

Since the x intercept of the second line is 4, it means the point on the second line is (4, 0)

using the formula

y=4x-16

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