Mathematics: Write the equation of the linear relationship in slope-intercept form, using decimals as needed. x0100200300y3.568.5133.5198.5

Write the equation of the linear relationship in slope-intercept

oliviaboils

17.01.2022

y=0.65x+3.5

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

take two points from the data

(0,3.5) and (100,68.5)

substitute

$m=\frac{68.5-3.5}{100-0}$

$m=\frac{65}{100}=0.65$

step 2

Find the equation in slope intercept form

y=mx+b

we have

m=0.65

b=3.5 ---> the y-intercept is given

substitute

y=0.65x+3.5

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