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Chapter 3: Q. 115 (page 276)

Graph the line of equation 3x-2y=4using its slope and y-intercept.

Short Answer

Expert verified

The slope of equation is 23and the y-intercept is (0,-43)and the graph is plotted below:

Step by step solution

01

Step 1. Given information

The equation of a line is given as2x-3y=4

02

Step 2. Identify the slope

The slope intercept form is as y=mx+bwhere mis the slope and (0,b)is the y-intercept.

The given equation is converted into slope intercept form as:

2x-3y=4-3y=-2x+4y=23x-43

Hence slope of equationy=23x-43is23.

03

Step 3. Identify the y-intercept

The y-intercept of equationy=23x-43is(0,-43).

04

Step 4. Graph the equation.

The graph of equation 2x-3y=4with slope 23and y-intercept -43is plotted below:

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