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Chapter 3: Q.467 (page 358)

Find an Equation of the Line Given Two Points (7,1)and (5,0). Write the equation in slope鈥搃ntercept form.

Short Answer

Expert verified

Equation of the line is:y=12x-52

Step by step solution

01

Given information

Here given two points are (7,1)and (5,0).

02

Concept used

Here we have to use slope formula and slope - point formula to find an equation of a line.

slope =m=y2-y1x2-x1

Slope - point formula: y-y1=m(x-x1)

Here we can use any one point from the given two points.

03

Explanation

Given two points are:(7,1)and (5,0).

Using slope formula,

m=y2-y1x2-x1

role="math" localid="1644302591019" 鈬�m=0-15-7

鈬�m=12

Using Slope - point formula,

y-0=12(x-5)

鈬�y=12x-52

04

Conclusion

Hence, equation of the line passing through the given points (7,1)and (5,0)is,y=12x-52

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Most popular questions from this chapter

In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope鈥搃ntercept form.

line y = 鈭�3x + 6, point (1, 鈭�5)

In the following exercises, find the equation of a line containing the given points. Write the equation in slope鈥搃ntercept form.

(7, 1) and (5, 0)

Find the equation of the line shown in each graph and write the equation in slope-intercept form.

Graph the equation x-y=-4using the intercepts.

Find the equation of the line shown in each graph and write the equation in slope-intercept form.
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