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Answer:
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