Part each equation in slope-intercept form and graph. Clearly mark at least three points on each line
Y = 3(x - 2) + 1
To rewrite the equation in slope-intercept form (y = mx + b), we need to distribute the 3 into the parentheses:
Y = 3x - 6 + 1
Then simplify:
Y = 3x - 5
The slope-intercept form of the equation is y = 3x - 5.
To graph the line, choose three x-values and plug them into the equation to find the corresponding y-values. Let's choose x = -2, 0, and 2.
For x = -2:
y = 3(-2) - 5
y = -6 - 5
y = -11
So one point on the line is (-2, -11).
For x = 0:
y = 3(0) - 5
y = -5
So another point on the line is (0, -5).
For x = 2:
y = 3(2) - 5
y = 6 - 5
y = 1
So the third point on the line is (2, 1).
Now, plot these three points on the coordinate plane and draw a line passing through them.
Here is the graph:
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-11| ●
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-10|
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-5| ●
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0________________
-2 -1 0 1 2 3 4 5 6
The line passes through the points (-2, -11), (0, -5), and (2, 1).