Question

think about the process what is the first step to graph each equation? graph each equation estimate the solution of the system of equations
$y = \frac{3}{2}x - 6$
$y = -\frac{3}{2}x - 1.5$
what is the first step to graph each equation?
\\(\bigcirc\\) a. plot the point of intersection
\\(\bigcirc\\) b. plot the slope
\\(\bigcirc\\) c. plot the point (0,0)
\\(\bigcirc\\) d. plot the y - intercept

Explanation:

The equations are in slope - intercept form \(y = mx + b\), where \(b\) is the y - intercept. To graph a linear equation in this form, the first step is to plot the y - intercept (the point \((0,b)\)). Option A is incorrect because we don't know the intersection point initially. Option B is incorrect as we need a starting point (the y - intercept) before using the slope. Option C is incorrect as \((0,0)\) is not the y - intercept for either equation (\(y=\frac{3}{2}x - 6\) has y - intercept \(-6\) and \(y =-\frac{3}{2}x-1.5\) has y - intercept \(- 1.5\)). So the correct first step is to plot the y - intercept.

Answer:

D. Plot the y - intercept