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tejasheree
15.10.2020 •
Mathematics
Find the equation of a line that passes through the points (4, 3) and (8,1)
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Ответ:
y= -1/2x + 5
Step-by-step 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
Ответ: