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gmany

The slope-intercept form:

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

m - slope

b - y-intercept

We have the slope [tex]m=-\dfrac{1}{2}[/tex] and the point (10, 4).

Substitute the value of slope and the coordinates to the equation of line:

[tex]y=-\dfrac{1}{2}x+b\\\\4=-\dfrac{1}{2}(10)+b\\\\4=-5+b\qquad|\text{add 5 to both sides}\\\\9=b\to b=9[/tex]

Answer: [tex]y=-\dfrac{1}{2}x+9[/tex]

Hi There!

You have to find the second point.

4 - ? = -1

10 - ? = 2

4 - 5 = -1

10 - 8 = 2

Second Coordinate: (8, 5)

Y intercept is 13

Slope Intercept Form: y = -1/2x + 13

Hope This Helps :)

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