Step 1
Find the equation of the line
we know that
the equation of the line in the slope-intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept
in this problem we have
[tex]m=0.2\\b=0.3[/tex]
substitute the values
[tex]y=0.2x+0.3[/tex]
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 [tex]x=0[/tex]
Substitute the value of x in the equation and find the value of y
[tex]y=0.2*0+0.3=0.3[/tex]
The point A is [tex](0,0.3)[/tex]
case b) For [tex]x=1[/tex]
Substitute the value of x in the equation and find the value of y
[tex]y=0.2*1+0.3=0.5[/tex]
The point B is [tex](1,0.5)[/tex]
case c) For [tex]x=-1[/tex]
Substitute the value of x in the equation and find the value of y
[tex]y=0.2*-1+0.3=0.1[/tex]
The point C is [tex](-1,0.1)[/tex]
case d) For [tex]x=2[/tex]
Substitute the value of x in the equation and find the value of y
[tex]y=0.2*2+0.3=0.7[/tex]
The point D is [tex](2,0.7)[/tex]
