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 $(2,0.7)$