Answered

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A line passes through the point (-7,-4) and has a slope of -2.Write an equation in slope-intercept form for this line.X Х?

A Line Passes Through The Point 74 And Has A Slope Of 2Write An Equation In Slopeintercept Form For This LineX Х class=

Sagot :

Slope intercept form is:

[tex]y=mx+b[/tex]

Where

m is the slope

b is the y-intercept (y-axis cutting point)

Now, the slope is given, so we have:

[tex]y=-2x+b[/tex]

We now need to find b. So we plug in the point.

-7 in x

-4 in y

Thus,

[tex]\begin{gathered} y=-2x+b \\ -4=-2(-7)+b \\ -4=14+b \\ -4-14=b \\ b=-18 \\ \end{gathered}[/tex]

So, the equation becomes:

[tex]y=-2x-18[/tex]y = -2x - 18
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