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Chapter 4: Q38. (page 272)

Write the given equation of line in slope-intercept form.

y鈭�4=12(x+2)

Short Answer

Expert verified

The equation of the line in slope-intercept form isy=12x+5

Step by step solution

01

Step 1. Slope-intercept form of an equation of a line:

The slope-intercept form of an equation of a line is given by,

y=mx+b

Where, slope=m, and, y-axis intercept=b

02

Step 2. Change the equation in slope-intercept form.

The equation is given by,

y鈭�4=12x+22y鈭�4=1x+22y鈭�8=x+22y=x+2+82y=x+10y=x+102y=x2+102y=12x+5

This equation is in slope-intercept form y=mx+b, where m=12and b=5.

Therefore, the equation of the line in slope-intercept form is y=12x+5.

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Most popular questions from this chapter

Graph each function. State the domain and range.

f(x)=[x]

Write an equation of the line with the given conditions.

鈭�3,4,1,12

Write an equation of a line in slope-intercept form with the given slope and y-intercept. Then graph the equation.

Slope:, y-intercept: -1

Graph each function. State the domain and range.

f(x)={x鈭�2ifx<13xifx鈮�1}

Write the given equation of line in slope-intercept form.

y+3=5(x+1)
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