Answer:
y = 6/5x - 2
Explanation:
In this question, we have to find the equation of the line with the given information.
We know that the the slope is 6/5 and it passes through the point (5, 4)
Lets represent this problem in slope intercept form with just the slope, since we need to find the "y-intercept".
y = 6/5x + b
To find the y-intercept, plug the values of the coordinate into the equation and solve for b:
4 = 6/5(5) + b
Solve for b:
4 = 6/5(5) + b
4 = 30/5 + b
4 = 6 + b
Subtract 6 from both sides to get "b" by itself.
-2 = b
This means that the y-intercept would be -2
When we put in into our slope intercept equation, it should look like this:
y = 6/5x - 2
y = 6/5x - 2 would be the equation of the line