Answer:
- y -3 = 3/5(x -5) . . . . point-slope form
- y = 3/5x . . . . . . slope-intercept form
Explanation:
You want the equation of the line with slope 3/5 that passes through point (5, 3).
Point-slope form
The point-slope form of the equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
You have m=3/5, (h, k) = (5, 3), so your equation is ...
y -3 = 3/5(x -5) . . . . point-slope form of desired equation
Slope-intercept form
This can be simplified to ...
y -3 = 3/5x -3
y = 3/5x . . . . . . . add 3