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vazorg [7]
3 years ago
5

Find an equation of the line passing through the pair of points. Write the equation in slope-intercept form. (2,8), and (8,2)

Mathematics
1 answer:
leonid [27]3 years ago
3 0

Answer:

y=-x+10

Step-by-step explanation:

Hi there!

Slope intercept form: y=mx+b where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

<u>1) Find the slope (m)</u>

m=\frac{y_2-y_1}{x_2-x_1} where the two given points are (x_1,y_1) and (x_2,y_2)

Plug in the given points (2,8),and (8,2)

​m=\frac{2-8}{8-2}\\m=\frac{-6}{6}\\m=-1

Therefore, the slope of the line is -1. Plug this into  y=mx+b:

y=-x+b

<u>2) Find the y-intercept (b)</u>

y=-x+b

Plug in a given point and solve for b

8=-2+b

Add 2 to both sides

8+2=-2+b+2\\10=b

Therefore, the y-intercept is 10. Plug this back into y=-x+b:

y=-x+10

I hope this helps!

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