Question

Identify the coordinates of four points on the line with given slope is 0.2 and y-intercept is 0.3

Answer 1

Step 1

Find the equation of the line

we know that

the equation of the line in the slope-intercept form is equal to

`y=mx+b`

where

m is the slope

b is the y-intercept

in this problem we have

`m=0.2\\b=0.3`

substitute the values

`y=0.2x+0.3`

Step 2

identify the coordinates of four points on the line

we know that

if a point belongs to the line, then the point must satisfy the equation of the line.

Let's assume different values of x and then with the equation we will calculate the value of y

case a) For
`x=0`

Substitute the value of x in the equation and find the value of y

`y=0.2*0+0.3=0.3`

The point A is
`(0,0.3)`

case b) For
`x=1`

Substitute the value of x in the equation and find the value of y

`y=0.2*1+0.3=0.5`

The point B is
`(1,0.5)`

case c) For
`x=-1`

Substitute the value of x in the equation and find the value of y

`y=0.2*-1+0.3=0.1`

The point C is
`(-1,0.1)`

case d) For
`x=2`

Substitute the value of x in the equation and find the value of y

`y=0.2*2+0.3=0.7`

The point D is
`(2,0.7)`