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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

Short Answer

Expert verified

The equation in slope-intercept form is y=2x+4and 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 2 for mand 4 for bin the equation y=mx+b.

The equation of the straight line is:

y=mx+by=2x+4

03

Step 3. Graph the equation.

Plot this equation on the Cartesian plane.

Therefore, the equation of the straight line is y=2x+4and the graph of the equation is drawn above.

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