Question

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

Answer 1

Answer:

$y=0.95x+2.5$

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

Find the slope

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

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

take the points

(0,2.5) and (100,97.5)

substitute in the formula

$m=\frac{97.5-2.5}{100-0}$

$m=\frac{95}{100}$

$m=0.95$

Find the y-intercept b

we have

$m=0.95$

$point\ (0,2.5)$

substitute i the linear equation  $y=mx+b$

$2.5=0.95(0)+b$

solve for b

$b=2.5$

Note It was not necessary to calculate the value of b because the value is given in the table

Remember that the y-intercept is the value of y when the value of x is equal to zero (the y-intercept is the point (0,2.5))

The linear equation is

$y=0.95x+2.5$