Answer:
[tex]y=0.400x+-0.800[/tex]
Step-by-step explanation:
Given the following question:
point A = (-3, -2)
point B = (2, 0)
To write the equation of the line that passes through two points we have to write the points in slope intercept form.
Formula for slope intercept:
[tex]y=mx+b[/tex]
M is equal to the slope of the two points, so first we need to fine the slope of the two points.
[tex](-3,-2)=(x1,y1)[/tex]
[tex](2,0)=(x2,y2)[/tex]
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{0--2}{2--3} =\frac{2}{5}[/tex]
[tex]m=\frac{2}{5} =0.400[/tex]
[tex]y=mx+b[/tex]
[tex]y=-2[/tex]
[tex]m=0.400[/tex]
[tex]x=-3[/tex]
[tex]-2=0.400(-3)+b[/tex]
[tex]0.400\times-3=-1.20[/tex]
[tex]-2+1.2=-0.800[/tex]
[tex]b=-0.800[/tex]
[tex]y=0.400x+-0.800[/tex]
Hope this helps.
