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Chapter 3: Q.548 (page 365)

Find the equation of each line. Write the equation in slope-intercept form.

containing10,1and6,-1

Short Answer

Expert verified

The equation of the line in slope-intercept form isy=12x-4

Step by step solution

01

Step 1. Given Information

Given a line passes through the points 10,1and 6,-1

The equation of the line in slope intercept form is to be determined.

02

Step 2. Calculation

Equation of a line passing through the points x1,y1,x2,y2is y-y1y2-y1=x-x1x2-x1

The equation of a line in slope-intercept form is

Plugging the values in the equation:

y-y1y2-y1=x-x1x2-x1y-1-1-1=x-106-10y-1-2=x-10-4y-1=-2-4x-10y-1=12x-5y=12x-5+1y=12x-4

03

Step 3. Conclusion

The equation of the given line in slope intercept form isy=12x-4

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Most popular questions from this chapter

Graph the equation by plotting points .

y=-2x+4

Graph each line with the given point and slope.

2,5;m=-13.

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

Graph the equation2x-y=-8using the intercepts.

For the function g(x)=4x-7, evaluate the function.

  1. gm2
  2. gx-3
  3. localid="1644747294810" gx-g3
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