Answer:
- slope m = 5
- y-intercept b = -15
Explanation:
You want the slope and y-intercept of the line shown in the graph.
Y-intercept
The line crosses the y-axis at y = -15.
The y-intercept b is -15.
Slope
The two marked points show the line has a "rise" of 0 -(-15) = 15 for a "run" of 3 -0 = 3. The slope is ...
m = rise/run = 15/3 = 5
The slope m is 5.
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Additional comment
The line rises 1 grid square for each 1 grid square to the right. However, each grid square is 5 units in the vertical direction and 1 unit in the horizontal direction. Though the squares are ...
vertical/horizontal = 1/1
the units are ...
vertical/horizontal = 5/1 = 5.
One always needs to check the scale of the graph when using grid squares to compute the slope.
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