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Write the equation of a line with a slope of 3 that passes through (-4,-7)

User Misterte
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Answer:

The equation of the line with a slope of 3 that passes through (-4,-7) is;


y=3x+5

Step-by-step explanation:

We want find the equation of the line with;


\begin{gathered} \text{Slope m}=3\text{ } \\ \text{ passing through point }(x_1,y_1)\rightarrow(-4,-7) \end{gathered}

Using the point slope form of linear equation;


y-y_1=m(x-x_1)

substituting the given values into the equation above we have;


\begin{gathered} y-(-7)=3(x-(-4)) \\ y+7=3(x+4) \end{gathered}

Above is a point slope form of the equation.

solving further we have;


\begin{gathered} y+7=3x+12 \\ y+7-7=3x+12-7 \\ y=3x+5 \end{gathered}

The equation of the line with a slope of 3 that passes through (-4,-7) is;


y=3x+5

User Ebanster
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