Find the slope of the line through the points
(-4,4) and (0,-4).
slope, call it m, is
m = (Y2-Y1)/(X2-X1)
m = (-4 - 4) / (0 - -4)
= -8/4
= -2
NOW SKETCH A GRAPH AND LOOK AT THOSE POINTS AND A LINE FROM THE FIRST TO THE SECOND. NEVER do one of these problems with sketching a quick graph off to the side.
NEVER do one of these problems without sketching a quick graph off to the side.
To find the slope of a line passing through two points, you can use the formula:
slope = (y2 - y1) / (x2 - x1)
In this case, the given points are (-4, 4) and (0, -4). Let's label them as (x1, y1) = (-4, 4) and (x2, y2) = (0, -4).
So, the formula becomes:
slope = (-4 - 4) / (0 - (-4))
slope = (-8) / (0 + 4)
slope = -8 / 4
slope = -2
Therefore, the slope of the line passing through the points (-4, 4) and (0, -4) is -2.