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Write the slope of the line in slope-intercept form using y=mx+b

Write The Slope Of The Line In Slopeintercept Form Using Ymxb class=

Sagot :

In order to find the equation for this line in the slope-intercept form, let's use two points of the line in the equation.

Using the points (-3, 3) and (0, -3), we have:

[tex]\begin{gathered} y=mx+b \\ (0,-3)\colon \\ -3=0\cdot m+b \\ b=-3 \\ \\ (-3,3)\colon \\ 3=-3m-3 \\ -3m=6 \\ m=-2 \end{gathered}[/tex]

So the slope of this line is m = -2, the y-intercept is b = -3 and the equation is y = -2x - 3.

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