The equation of the line is option C.) “y = 3/4x - 1.”
To find the slope, we can take the two plotted points and use the formula y-y/x-x to identify. The two points are (-4, -4) and (4, 2). This would look like:
2 - (-4) = 6
4 - (-4) = 8
Our slope is 6/8, but this can be simplified. 6/8 = 3/4, so our slope is 3/4.
The y-intercept is known as the point where the line crosses the y-axis (the vertical line). This would mean the y-intercept is -1.
Now, we can set up the equation in slope-intercept form. This would be:
y = 3/4x - 1
When looking back at the answer choices, our answer aligns with C. Therefore, the correct answer is option C.