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A line passes through the point (-2,5) and has a slope of -6 write an equation in slope intercept form of this line

User Kristoffer La Cour
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1 Answer

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The slope-intercept form of the equation of a line has the following structure:


y=mx+b

Where m is the slope of the line, and b is the y-intercept. We already know that the slope of the line is -6, then:


y=-6x+b

To find b we can use the given point, whose x-coordinate is -2 and y-coordinate 5.

We can replace the values of x and y of the point and solve for b:


\begin{gathered} 5=-6\cdot(-2)+b \\ \\ 5=12+b \\ \\ b=5-12 \\ \\ b=-7 \end{gathered}

Now we know the value of the y-intercept. The equation if the line is:


y=-6x-7

User Grogi
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