Answer:
[tex]\sf y=3x+2[/tex]
Step-by-step explanation:
Point-slope form of linear equation: [tex]\sf y-y_1=m(x-x_1)[/tex]
(where m is the slope and (x₁, y₁) is a point on the line)
Given:
- slope (m) = 3
- point (x₁, y₁) = (5, 17)
Substituting given values into the equation to find the equation of the line:
[tex]\implies \sf y-17=3(x-5)[/tex]
[tex]\implies \sf y-17=3x-15[/tex]
[tex]\implies \sf y=3x+2[/tex]
