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Write each equation in slope-intercept form.

y−3=4x+3

Short Answer

Expert verified

The equation in slope-intercept form isy=4x+15.

Step by step solution

01

Step 1. State the concept of slope-intercept of an equation.

The slope-intercept form of a linear equation is y=mx+b, where m is the slope and b is the y-intercept.

02

Step 2. Simplify the equation. 

In order to simplify y−3=4x+3, apply the distributive property on the right side.

y−3=4x+3y−3=4x+4×3y−3=4x+12

03

Step 3. Write the equation in slope-intercept form.

Further, simplify the equation so as to rewrite the equation in the needed form of y=mx+b.

y−3=4x+12y−3+3=4x+12+3Add3toeachsidey=4x+15

Thus, the equation in slope-intercept form is y=4x+15.

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