Question

GEOMETRY For Exercises 41-43, use the equation $\mathbf{d}=\mathbf{180}\left(\mathbf{c}-\mathbf{2}\right)$ that gives the total number of degrees$\mathbf{d}$ in any convex polygon with $\mathbf{c}$ sides.

42. Identify the slope and $\mathbf{d}$-intercept.

Short answer

The slope of the given equation is 180 and the $d$-intercept is -360.

Step-by-step solution

– State the concept

The slope intercept form of a straight-line equation is$y=mx+c$ where $m$ is the slope and $c$ is the y-intercept.

– List the given data

The given equation is $d=180\left(c-2\right)$, where $c$ is the number of sides of a convex polygon and $d$ is the total number of degrees.

– Identify the slope and intercept

As obtained previously, the slope-intercept form of the given equation is $d=180c-360$.

Comparing with the standard equation in slope-intercept form, $y=mx+c$, the slope of the given equation is 180 and the $d$-intercept of the given equation is -360.