Question

Help i don’t understand

Answer 1

Slope
`(20)/(3)`

y-intercept
`(10)/(3)`

Equation
`y=(20)/(3)x+(10)/(3)`

150 miles traveled

Explanation:

The line shown on the diagram passes through the points (4,30) and (7,50). Find the slope of the line:

`(y_2-y_1)/(x_2-x_1)=(50-30)/(7-4)=(20)/(3)`

The equation of the line is

`y-30=(20)/(3)(x-4)\\ \\y=(20)/(3)x+(10)/(3)`

Hence, y-intercept is
`(10)/(3)`

When
`x=22,` then

`y=(20)/(3)\cdot 22+(10)/(3)=(440+10)/(3)=150\ miles`