Step-by-step explanation:
Given the point-slope form: y + 2 = -¾(x + 4)
Transform the equation into its slope-intercept form:
y + 2 = -¾(x + 4)
Distribute -3/4 into the parenthesis:
y + 2 = -¾x -3
Subtract 2 from both sides:
y + 2 - 2 = -¾x -3 - 2
y = - ¾x - 5
To graph the equation, you could start with the y-intercept, (0, -5). From there, use the slope (3 units down, 4 units to the right) to get to the next set of points. Repeat this process until you could create a line by connecting the plotted points.
Attached is a screenshot of the graph, where it shows the plotted points using the techniques described in this post.
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