Question

(a) What is the slope of the line? m=_______ Show how you found the slope.

(b) What is the y-intercept? (___, ___)
(c) Write an equation for the line in slope-intercept form. _________________________

Answer 1

Part a)
`m=(7)/(5)`

Part b) The y-intercept is the point (0,7)

Part c)
`y=(7)/(5)x+7`

Explanation:

Part a) What is the slope of the line?

looking at the graph take the intercepts

(0,7) and (-5,0)

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

`m=(y2-y1)/(x2-x1)`

substitute the values

`m=(0-7)/(-5-0)`

`m=(-7)/(-5)`

`m=(7)/(5)`

Part b) What is the y-intercept?

we know that

The y-intercept is the value of y when the value of x is equal to zero

looking at the graph

For x=0, y=7

therefore

The y-intercept is the point (0,7)

Part c) Write an equation for the line in slope-intercept form

The equation of a line in slope intercept form is

`y=mx+b`

where

m is the slope

b is the y-coordinate of the y-intercept

we have

`m=(7)/(5)`

`b=7`

substitute

`y=(7)/(5)x+7`