Answer:
The slope-intercept form is [tex]y=x+8[/tex]
Step-by-step explanation:
Given points are (-3, 5) and (2,10). Now, we have to find the equation of the line that passes through these points in slope-intercept form.
Equation of line passing through the point (x', y') can be written as
[tex]y-y'=m(x-x')[/tex] where m is [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Hence, the equation can be written as [tex](y-5)=\frac{10-5}{2-(-3)}(x-(-3))[/tex]
⇒ [tex]y-5=\frac{5}{5}(x+3)[/tex]
⇒ [tex]y=x+3+5[/tex]
⇒[tex]y=x+8[/tex]
which is slope-intercept form where slope is 1 and intercept is 8 by comparing with y=mx+c
