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Chapter 4: Q2. (page 217)

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

Slope: -5, y-intercept: 3

Short Answer

Expert verified

The equation in slope-intercept form is y=鈭�5x+3and the graph of the equation is:

Step by step solution

01

Step 1. State the concept of standard form of an equation.

The slope-intercept form of a linear equation is y=mx+b, where mis the slope and bis they-intercept.

02

Step 2. Write equation of a line in slope-intercept form.

To find the equation of a line in slope-intercept form substitute -5for mand 3 for bin the equation y=mx+b.

The equation of the straight line is:

y=mx+by=鈭�5x+3

03

Step 3. Graph the equation.

Plot this equation on the Cartesian plane.

Therefore, the equation of the straight line is y=鈭�5x+3and the graph of the equation is drawn above.

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Most popular questions from this chapter

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

Slope:鈭�2, y-intercept:-9

Which absolute value equation has the graph below as its solution?

Ax鈭�3=11

Bx鈭�4=12

Cx鈭�11=3

Dx鈭�12=4

Graph each equation.

y=12x+1

Writey+4=鈭�7x鈭�3in slope-intercept form.

Write an equation in point slope-intercept form that passes through the given point and has the given slope.

鈭�4,2, slope鈭�3
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