Question

Write each of the following in the intercept form then list the x- and y-intercepts. (g) slope 3 over 7 , through (14, 3)

Answer 1

Step-by-step explanation:

The slope-intercept form of the equation of a line is:

`y=mx+b`

Where m is the slope and b is the y-intercept.

In this problem the slope is 3/7:

`y=(3)/(7)x+b`

To find the y-intercept b we have to use the point. Replace x = 14 and y = 3 and solve for b:

`\begin{gathered} 3=(3)/(7)\cdot14+b \\ 3=6+b \\ b=3-6=-3 \end{gathered}`

Answer:

The equation is:

`y=(3)/(7)x-3`