Question 997457
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what is x-intercept of the line passing through points (-4,15) and having a slope of -1?
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        In the post by @lwsshak3 the answer is given for y-intercept,

        while the question is about x-intercept.


        In addition, some interior formulas in his post are written incorrectly.


        So, I came to provide an accurate solution.



equation of a line in slope-intercept form: y = mx+b, m = slope, b = y-intercept
y = -x+b
solve for b using given coordinates(4,15) on the line
b = y+x = 15 + (-4) = 11


equation: y = -x+11


x-intercept is when y=0, i.e. -x + 11 = 0.


It gives x-intercept x = 11.   &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<U>ANSWER</U>.



&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Solved correctly to teach you in a right way.