Answer:
y = -1/4x -6
Explanation:
You want the equation of the graphed line that crosses the y-axis at -6 and intersects the point (4, -7).
Slope
The slope of the line is its rise divided by its run. The first grid crossing to the right of the y-axis is at the point (4, -7). This is 1 unit down and 4 units right of the y-intercept.
m = rise/run = -1/4
Line
We already know the y-intercept is -6, so the line in slope-intercept form is ...
y = mx +b . . . . . . line with slope m and y-intercept b
y = -1/4x -6 . . . . . line with slope -1/4 and y-intercept -6
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