Write the slope-intercept form of the equation of the line through the given light with the given slope.

In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
point (3 , 0)
slope = 5/3
Step 02:
equation of the line:
(y - y1) = m (x - x1)
(y - 0) = 5/3 (x - 3)
[tex]y\text{ = }\frac{5}{3}x-\frac{5}{3}\cdot3\text{ = }\frac{5}{3}x-5[/tex]Slope-intercept form of the line
y = mx + b = 5/3 x - 5
The answer is:
y = 5/3 x - 5