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Chapter 1: Q 24. (page 51)

Find an equation of the line having the given characteristics. Express your answer using either the general form or the

slope鈥搃ntercept form of the equation of a line, whichever you prefer. Graph the line.

Parallel to the line 2x-3y=-4containing the point-5,3.

Short Answer

Expert verified

Equation of the line is 2x-3y=-19

Step by step solution

01

Step 1. Given information.

Consider the given equation 2x-3y=-4and point-5,3.

02

Step 2. To write the given equation in slope intercept form .

Slope intercept form is y=mx+c.

2x-3y=-4-3y=-2x-4y=23x+43

The given line has slope 23and any line that is parallel to this line will have same slope therefore it is require the point -5,3to be lie on same plane .

03

Step 3. Find the equation of  the line.

To use the formula to find equation of the line is y-y1=mx-x1.

Substitute the value of x1,y1and m.

y-3=23x+52x-3y=-19

04

Step 4. Plot the graph.

The graph for the equation 2x-3y=-19shown below.

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Most popular questions from this chapter

Plot each pair of points and determine the slope of the line containing them. Graph the line by hand.

(2,0);(2,2)

Which form of the equation of a line do you prefer to use? Justify your position with an example that shows that your choice is better than another. Have reasons.

True or false The point 1,2is on the line2x+y=4.

Graph the line containing the point P and having slope m.

P(2,-4),m=0

If 3 and 4 are the legs of a right triangle, the hypotenuse is _________.
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