SOLUTION: Write an equation of a line with an x-intercept 4 and a slope -3.

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Question 826856: Write an equation of a line with an x-intercept 4 and a slope -3.
Answer by math-vortex(648) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, there--

THE PROBLEM:
Write an equation of a line with an x-intercept of 4 and a slope of -3.

A SOLUTION:
Use the point-slope formula, y-y%5B1%5D=m%2A%28x-x%5B1%5D%29 where x%5B1%5D and y%5B1%5D are the coordinates of a point on the line, and m is the slope.

We know that the slope is -3.

Since the x-intercept is 4, the line crosses the x-axis at (4,0).

Substitute these values into the formula.

y-0=-3%2A%28x-4%29

You can leave the equation in this form, or you write an equivalent equation by simplifying a bit.
y=-3x%2B12

Hope this helps! Feel free to email if you have any questions about the solution.

Good luck with your math,

Mrs. F
math.in.the.vortex@gmail.com