Question

Write the equation of the linear relationship in slope-intercept form, using decimals as needed. The equation that represents this relationship is y=

Answer 1

Given

Point A = (25, 98)

Point B = (55, 92)

Procedure

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

`\begin{gathered} m=(92-98)/(55-25) \\ m=(-6)/(30) \\ m=-(1)/(5) \\ \end{gathered}`

Now, what about b, the y-intercept?

`\begin{gathered} b=y-mx \\ b=92+(1)/(5)\cdot55 \\ b=92+11 \\ b=103 \end{gathered}`

The equation of the line that passes through the points

(25,98) and (55,92)

`y=-(1)/(5)x+103`