Answer:
[tex]y=3x-13[/tex]
Step-by-step explanation:
Slope-intercept form is a linear equation expressed as y = mx + b, where "m" represents the slope of the line, and "b" represents the y-intercept.
To rewrite y - 2 = 3(x - 5) in slope-intercept form, we need to rearrange the equation to isolate y.
Distribute the 3 on the right side of the equation:
[tex]y - 2 = 3x - 15[/tex]
Add 2 to both sides of the equation:
[tex]y - 2+2 = 3x - 15+2\\\\\\y=3x-13[/tex]
So, the equation y - 2 = 3(x - 5) in slope-intercept form is:
[tex]\LARGE\boxed{\boxed{y=3x-13}}[/tex]
