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Find the equation of the line that passes through the following two points: (3, -7) and (7, 2)

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2 votes

Answer:


y=(9)/(4)x-(55)/(4)

Explanation:

Slope-intercept form: y = mx + b

Slope formula:
(y2-y1)/(x2-x1)

Given points: (3, -7), (7, 2)

(3, -7) = (x1, y1)

(7, 2) = (x2, y2)

To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.

First, let's find the slope. To do this, input the given points into the slope formula:


(2-(-7))/(7-3)

Simplify:

2 - (-7) = 2 + 7 = 9

7 - 3 = 4


(9)/(4)

The slope is
(9)/(4).

To find the y-intercept, input the slope and one of the given points(in this example I'll use point (7, 2)) into the equation and solve for b:


2=(9)/(4)(7)+b


2=(63)/(4)+b


-(55)/(4) =b

The y-intercept is
-(55)/(4).

Now that we know the slope and the y-intercept, we can write the equation:


y=(9)/(4)x-(55)/(4)

User Carl Lindberg
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