Answer
a. m = $\frac{5}{2}$
b. Increasing
c. y-int = (0,-7.5)
d. x-int = (3,0)
Work Step by Step
a. The line passes through the points (3,0) and (0,-7.5).
The slope formula is:
$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
$m=\frac{-7.5 - 3}{0-3}$
$m = \frac{5}{2}$
b. The line is increasing as it starts in the negative quadrant and increases to the positive quadrant.
c. The y-intercept is the point at which the line cuts the y-axis. Looking at the graph, the y-intercept is (0,-7.5).
d. The x-intercept is the point at which the line cuts the x-axis. Looking at the graph, the x-intercept is (3,0).
