Angelika H. answered 10/23/19
Amherst College Grad with Extensive Tutoring Experience
To make it easier to find the slope and y-intercept of the equation, we want to arrange the equation in y=mx+b format where m is the slope and b is the y-intercept.
To rearrange the equation:
4y-3x=1
We first add 3x to both sides,
4y=3x+1
Then, we divide both sides by 4 to obtain,
y= (3/4)x +(1/4)
Within the y=mx+b format, this corresponds to m=3/4 and b=1/4. Therefore, the slope is 3/4 and the y-intercept is 1/4.