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What is the equation of the line that contains point (-2, -2) and a slope of 4

User EoH
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1 Answer

8 votes
8 votes

Given the a point and a slope

point coordinate ( -2 , -2 )

Slope (m) = 4

Step 1: Write the formula for the point-slope equation


y-y_1=m(x-x_1)

Step 2: Identify the x and y values


\begin{gathered} x_1=-2 \\ y_1=-2 \\ m=4 \end{gathered}

Step 3: substitute the values in the point-slope equation formula


\begin{gathered} y-(-2)=4(x-(-2)) \\ y+2=4(x+2) \\ y+2=4x+8 \\ y=4x+8-2 \\ y=4x+6 \end{gathered}

Hence, the equation of the line is y = 4x+6

User Chris Rasys
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