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Chapter 4: Q3. (page 217)

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

Short Answer

Expert verified

The equation in slope-intercept form is y=34x鈭�1and 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 34for localid="1647424258169" mand localid="1647424252045" -1for localid="1647424255110" bin the equation localid="1647424248683" y=mx+b.

The equation of the straight line is:

y=mx+by=34x鈭�1

03

Step 3. Graph the equation.

Plot this equation on the Cartesian plane.

Therefore, the equation of the straight line is y=34x鈭�1and the graph of the equation is drawn above.

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Most popular questions from this chapter

Determine whether the graphs of the pairs of equations are parallel, perpendicular, or neither.

y=鈭�6x+83x+12y=鈭�3

F parallel

G perpendicular

H neither

J not enough information

Write an equation of the line that passes through the given points.

2,鈭�1,5,2

Write an equation of the line that passes through the given points.

2,4,7,2

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

Slope: 2, y-intercept: 4

Graph each equation.

y=2x+3
See all solutions

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