Answer:
slope = -6
y-intercept = -3
Step-by-step explanation:
The slope-intercept form, y = mx + b:
m represents the slope
b represents the y-intercept.
Given the linear equation, y = -6x - 3, in its slope-intercept form:
slope (m) = -6
y-intercept (b) = -3.
To plot the points on the graph, we can also solve for the x-intercept. The x-intercept is the value of x when y = 0. Plug-in the value of y into the equation to solve for the x-intercept:
y = -6x - 3
0 = -6x - 3
Add 3 on both sides of the equation:
0 + 3 = -6x - 3 + 3
3 = -6x
Divide both sides by -6:
[tex]\frac{3}{-6} = \frac{-6x}{-6}[/tex]
x = - 1/2
So the y-intercept is (-1/2, 0). We now have 2 points that you can use on your graph, the y-intercept (0, -3) and the x-intercept (-1/2, 0).
Please see the attached image for the plotted points on the graph:
