Here's a graph of a linear function. write the
equation that describes that function.
express it in slope-intercept form.

!

The Answer is: y = 1/2x + 4

Step-by-step explanation:

From the line, find two points: (-2, 3) and (-4, 2)

Use the equation to find the slope:

m = (y - y1)/(x - x1)

m = (3 - 2)/(-2 - (-4))

m = 1 / -2 + 4

m = 1/2

Start with the point slope form of the equation, take one of the points, (-4, 2), and solve for y:

y - y1 = m(x - x1)

y - 2 = 1/2(x - (-4))

y - 2 = 1/2(x + 4)

y - 2 = 1/2x + 2

y = 1/2x + 4

Proof:

f(-2) = 1/2(-2) + 4

= -1 + 4 = 3, giving (-2, 3)

Hope this helps :-)

step-by-step explanation:

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