Question 826856
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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[1]=m*(x-x[1])}}} where {{{x[1]}}} and {{{y[1]}}} 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*(x-4)}}}

You can leave the equation in this form, or you write an equivalent equation by simplifying a bit.
{{{y=-3x+12}}}

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
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