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mr Goodwill [35]
2 years ago
5

How do i put this in slope-intercept form. passes through 2,-2 and 4,-1​

Mathematics
1 answer:
enot [183]2 years ago
5 0

Answer:

\large\boxed{y=\dfrac{1}{2}x-3}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have two points (2, -2) and (4, -1).

Substitute:

m=\dfrac{-1-(-2)}{4-2}=\dfrac{-1+2}{2}=\dfrac{1}{2}

Put the value of a slope and the coordinates of the point (2, -2) to the equation of a line:

-2=\dfrac{1}{2}(2)+b

-2=1+b              <em>subtract 1 from both sides</em>

-3=b\to b=-3

Finally:

y=\dfrac{1}{2}x-3

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