Answer:
y = x + 15
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
(x₁, y₁) - point
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (5, 20) and (7, 22). Substitute:
[tex]m=\dfrac{22-20}{7-5}=\dfrac{2}{2}=1[/tex]
[tex]y-20=1(x-5)[/tex]
[tex]y-20=x-5[/tex] add 20 to both sides
[tex]y=x+15[/tex]
