Answer:
a. y = 3
b. x = 1
c. y = 5
d. x = -2.5
e. m = 2
f. y = 2x +5
Explanation:
a.
Find the mark -1 on the horizontal axis. Follow the vertical line up until it meets the red line being graphed. Then follow the horizontal line over to the vertical y-axis. This tells you the value of y when x = -1. It is 3.
y = 3 when x = -1.
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b.
Find the mark 7 on the vertical axis. (It is the one closest to the top.) Follow the horizontal line over to the red line being graphed. Then follow the vertical line down to the horizontal x-axis. The number there is 1. This is the value of x when y = 7.
x = 1 when y = 7.
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c.
The number where the red line crosses the vertical axis is the y-intercept. It is 5.
y-intercept = 5
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d.
The red line crosses the horizontal axis halfway between -2 and -3. The value there is -2.5. This is the x-intercept.
x-intercept = -2.5
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e.
The slope of the line is the ratio of "rise" (vertical change) to "run" (horizontal change). There are several ways to find it.
You already know the line crosses the y-axis at y = 5, and you know that it has a value of y=7 when x=1. The latter point is 2 units up and 1 unit right of the y-intercept point, so the slope is ...
m = rise/run = 2/1 = 2
The slope of the line is 2.
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f.
The equation in slope-intercept form is ...
y = mx + b
where m represents the slope (2), and b represents the y-intercept (5). Putting these numbers in their places gives the equation ...
y = 2x +5