Answered

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Write the equation of a line that passes through the points (6,8) and (-2,4) in slope-intercept form.

Sagot :

Answer:

[tex]y=\frac{1}{2}x+5[/tex]

Step-by-step explanation:

We are given the points (6,8) and (-2,4).

Find the slope:

[tex]m=\frac{4-8}{-2-6}=\frac{-4}{-8}=\boxed{\frac{1}{2}}[/tex]

Using a point and the slope, create a point-slope form equation and convert it into slope-intercept.

[tex]y-8=\frac{1}{2}(x-6)\\\\y-8= \frac{1}{2}x-3\\\\y-8+8=\frac{1}{2}x-3+8\\\\\boxed{y=\frac{1}{2}x+5}[/tex]

Hope this helps!

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