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Answer:
a) y = 0 +3x
b) 3; the line rises 3 units for each unit to the right
c) (0, 0); the line crosses the y-axis at y=0
Explanation:
a. The y-intercept is the point on the y-axis where the line crosses. That point is (0, 0). The y-coordinate there is the value of b in the equation.
The slope is the ratio ...
m = rise/run
The points marked are separated by 3 units vertically for each 1 unit horizontally. Points on the right are above those on the left, so the "rise" is positive for a positive "run".
m = 3/1 = 3
Then the equation is ...
y = 0 + 3x
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b. The slope is 3. It is the ratio of rise to run.
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c. The y-intercept is 0. It is the y-coordinate of the point where the line crosses the y-axis.