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Find the equation of a line that passes through the points (4, 3) and (8,1)

User Pimmol
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1 Answer

3 votes

Answer: y= -1/2x + 5

Explanation:

We will write the equation in slope-intercept form meaning that we will need to find the slope and the y-intercept.

The slope-intercept for is y=mx +b where m is the slope and b is the y-intercept.

Find the slope by find the difference in the y coordinates and divide it by the difference in the x-coordinates.

The y-coordinates are 3 and 1

The x coordinates are 4 and 8.

3-1 = 2

4-8 = -4

2/-4= -1/2

The slope is -1/2

We will now use one of the points and the slope to find the y-intercept by plotting their values into the formula .

3= -1/2(4) + b

3= -2 + b

+2 +2

b= 5

The equation will be y= -1/2x + 5

User George Lica
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