Answer:
y = 3/4x - 3
Step-by-step explanation:
If you write the equation in slope-intercept form, you will need the slope(m) and the y-intercept(b):
y = mx + b
To solve this, you first need to know the slope of the line in the given equation. In order to do this, change it to slope-intercept form for easy analyzation:
-3x + 4y = 4
= 4y = 3x + 4
= y = 3/4x + 1
Now, you know the slope(m) is 3/4, so you have this much of the slope-intercept equation:
y = 3/4x + b
At this point, you need to find the y-intercept. This can be done by plugging in the given point in the equation and solving for b:
using (4, 0) and y = 3/4x + b,
(0) = 3/4(4) + b
0 = 3 + b
b = -3
So, that means that the equation for the line is:
y = 3/4x - 3
