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Graph the line passing through (−2,3) whose slope is m=4.

User Iameli
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1 Answer

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The equation of a line whose slope is m, is given by,


y=mx+c

Given that the slope is 4, the equation becomes,


y=4x+c

The line passes through (-2,3) so it must satisfy the equation,


\begin{gathered} 3=4(-2)+c \\ 3=-8+c \\ c=3+8 \\ c=11 \end{gathered}

Substitute the value in the equation,


y=4x+11

Now, that we know that the line has a y-intercept of 11 units, and it passes through (-2,3), the graph of the line can be obtained as follows,

This is the graph of the given line.

Graph the line passing through (−2,3) whose slope is m=4.-example-1
User Tobriand
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