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Chapter 4: Q4. (page 217)

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

Slope: 鈭�57, y-intercept: 鈭�23

Short Answer

Expert verified

The equation in slope-intercept form is y=鈭�57x鈭�23and 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 the y-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 鈭�57for m and 鈭�23 for b in the equation localid="1647427028110" y=mx+b.

The equation of the straight line is:

localid="1647427638739" y=mx+by=鈭�57x鈭�23

03

Step 3. Graph the equation.

Plot this equation on the Cartesian plane.

Therefore, the equation of the straight line is y=鈭�57x鈭�23and the graph of the equation is drawn above.

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