A line has a slope of $m,$ and its $y$-intercept is $(0,b)$. If $m = 8$ and $b = 14,$ then what is the $x$-intercept of the line?
The equation of a line with slope mandy-intercept (0,b)isy=mx+b. In this case, the equation of the line is y=8x _+14.
To find the x-intercept of the line, we substitute y=0 into the equation and solve for x. So we have:
0 = 8x + 14 -14 = 8x 8x = -14 x = -\frac{7}{4}
Therefore, the x-intercept of the line is (−47,0).