Aline passes through the points (3, 0) and (4, 1) what is the y-intercept of the line?

Slope of a line = (y2-y1)/(x2-x1)

In this problem:
y2= 1
y1= 0
x2=4
x1= 3
m = (y2-y1)/(x2-x1)
m = (1-0)/(4-3)= 1/1= 1

y= mx+b (line equation)
y-intercept occurs when x=0. So, plug in a point to find b.
I used (4,1)
y=mx+b
y= (1)x+b
1=(1)(4)+b
1=4+b
b= -3

Y-intercepts of the x-axis at (0,-3). Y-intercept= -3

Any further questions?
 

8x - 61 = 17add 8x = 88x = 11 (cannot be proven)4(3(7) - 8) = 524(21 - 8) = 5284 - 32 = 52 (proven)