Problem

Graph the line with slope -3 passing through the point (1,−1).

Answer

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Answer

Finally, to graph the line, plot the point (1,−1) and use the slope to find another point. Since the slope is -3, you can go down 3 units and to the right 1 unit from the point (1,−1) to get to the point (2,−4). Draw a line through these two points to graph the line.

Steps

Step 1 ：First, remember that the slope of a line in the form of y=mx+b is equal to m. So, the line must take the form y=−3x+b.

Step 2 ：Next, substitute the point (1,−1) and solve for b: −1=−3(1)+b⇒−1=−3+b⇒2=b

Step 3 ：Therefore, the equation of the line is y=−3x+2.

Step 4 ：Finally, to graph the line, plot the point (1,−1) and use the slope to find another point. Since the slope is -3, you can go down 3 units and to the right 1 unit from the point (1,−1) to get to the point (2,−4). Draw a line through these two points to graph the line.

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