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

Slope: 58, y-intercept:2

Short Answer

Expert verified

The equation of a line in slope-intercept form with the given slope and y-intercept is y=58x2.

The graph of the equationy=58x2 is:

Step by step solution

01

Step 1. Write the slope-intercept form of a line.

The equation of line in slope-intercept form is:

y=mx+b

Wherem is the slope of the line andb is the y-intercept of the line.

02

Step 2. Write the equation of a line in slope-intercept form having slope −58 and y-intercept −2.

The slope of the line is 58. Therefore, the value ofm is 58.

The y-intercept of the line is 2. Therefore, the value ofb is 2.

Now substitute 58for mand 2for bin the equation y=mx+bto find the slope-intercept form of the line.

y=mx+b=58x+2=58x2

Therefore, the equation of a line in slope-intercept form with the given slope and y-intercept is y=58x2.

03

Step 3. Draw the graph of the equation y=−58x−2.

The graph of the equation y=58x2is:

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