Question

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Answer 1

Question: A line passes through the point (9, 5) and has a slope of -4/3. Write an equation in slope-intercept form for this line.

Answer:

`y=-(4)/(3)x+17`

Given:

x = 9

y = 5

m = -4/3

Explanation:

Slope intercept form is y = mx+b

Plug in x, y, and m to solve for b.

`5=-(4)/(3)(9)+b`

`b=5+(4)/(3)(9)=17`

Now that you have b, plug in m and b back into the equation

`y=-(4)/(3)x+17`