Answer:
[tex]y=x+8[/tex]
Step-by-step explanation:
Slope of straight line can be calculated as
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Here [tex](x_1, y_1)=(-3, 5) \ and \ (x_2, y_2) = (2, 10)[/tex]
[tex]m =\frac{10-5}{2-(-3)}\\m=1[/tex]
Equation of straight line in slope intercept form is
[tex]y-y_1=m(x-x_1)\\y-5=(x+3)[/tex]
[tex]y=x+8[/tex]