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Chapter 3: Q.541 (page 364)

Graph the line with slope12containing the point-3,-4.

Short Answer

Expert verified

The graph of the line with slope 12containing the point-3,-4 is shown below:

Step by step solution

01

Step 1. Given information

Consider the slope of the line is12and containing the point -3,-4.

The point-slope form of the line equation that passes through the point x1,y1with slopemisy-y1=mx-x1.

02

Step 2. Evaluation

Substitute m=12,x1=-3,y1=-4in y-y1=mx-x1.

y--4=12x--3y+4=12x+3y+4=12x+32y=12x-52

The line equation is y=12x-52withy-intercept is0,-52.

03

Step 3. Sketch the graph

plot the points0,-52,-3,-4and join them with a staright line as shown below.

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Most popular questions from this chapter

Find an equation of a line parallel to the given line 2x+5y=-10and contains the given point(10,4). Write the equation in slope鈥搃ntercept form.

Find the intercepts of the graph

.

Find the intercepts of the equation3x-2y=12.

In the following exercises, use slopes and y-intercepts to determine if the lines are parallel, perpendicular, or neither.

y=2and y=6

Graph the equationsx=-2,y=-5.
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