Find the slope and y-intercept.

1. (1,3), (1,-1)
2. (-6,2), (0,4)
3. (0,3), (5,0)

I need help big time in finding the y-intercept.

3 answers

r u trying to say which one is x and which one is y. the x is always first
No, I'm saying what is the formula to find the y-intercept.
The y-intercept is the point where the line cuts the y-axis, i.e. where x=0.

The slope from two given points can be found with the standard formula
slope, m=(y2-y1)/(x2-x1)
for cases where x2≠ x1.
When x2=x1, the slope is infinite, or the line is vertical.

1. (1,3), (1,-1)
Line is vertical (slope=∞), no y-intercept.

2. (-6,2), (0,4)
Slope,
m=(y2-y1)/(x2-x1)
=(4-2)/(0- -6)
=2/6
=1/3
Line cuts the y-axis at (0,4). The value of y is 4 at this point. So the y-intercept is +4.

3. (0,3), (5,0)
Slope, m
=(0-3)/(5-0)
=-3/5
The line cuts the y-axis (x=0) at (0,3), so the y-intercept is +3.
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