write an equation in slope-intercept for the line that has a slope of 1/2 and goes through the point (4, 7)

y = 1/2x + 5

Step-by-step explanation:

The formula for an equation is y = mx + b

m is the slope. It is given

y = 1/2x + b

b is the y-intercept

In this case, we must substitute to find the y-intercept

We are given coordinate pair (4,7)

Plug our pair in and we get => 7 = 1/2(4) + b

=> 7 = 2 + b

easily, we find b = 5

We get our equation: y = 1/2x + 5

Cheers!

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