Answer
(a) $y=2x+11$
(b) $(-\frac{11}{2},0)$
Work Step by Step
(a) Given two points $(-3,5)$ and $(-1,9)$, we can find the slope of the line passing through the points as $m=\frac{9-5}{-1-(-3)}=2$. We can write the line equation as $y-5=2(x+3)$ or $y=2x+11$ in the slope-intercept form.
(b) The x-intercept can be found by letting $y=0$, we have $2x=11$ and $x=-\frac{11}{2}$, thus the x-intercept is $(-\frac{11}{2},0)$
