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.

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.

To find the slope and y-intercept of a linear equation, we can use the formula for the slope, which is given by:

m = (y₂ - y₁) / (x₂ - x₁)

And once we have the slope (m), we can use the point-slope form of a line (y = mx + b) to solve for the y-intercept (b).

Let's calculate the slope and y-intercept for each given pair of points:

1. (1,3), (1,-1)
Using the slope formula:
m = (-1 - 3) / (1 - 1)
m = -4 / 0

In this case, the slope is undefined because it involves division by zero. Therefore, there is no y-intercept.

2. (-6,2), (0,4)
Using the slope formula:
m = (4 - 2) / (0 - (-6))
m = 2 / 6
m = 1/3

Now we have the slope (m = 1/3). Let's use one of the points (-6, 2) with the point-slope form (y = mx + b) to solve for the y-intercept (b):
2 = (1/3)(-6) + b
2 = -2 + b
b = 2 + 2
b = 4

Therefore, the equation of the line is y = (1/3)x + 4, and the y-intercept is 4.

3. (0,3), (5,0)
Using the slope formula:
m = (0 - 3) / (5 - 0)
m = -3 / 5

Now we have the slope (m = -3/5). Let's use one of the points (0, 3) with the point-slope form (y = mx + b) to solve for the y-intercept (b):
3 = (-3/5)(0) + b
3 = b

Therefore, the equation of the line is y = (-3/5)x + 3, and the y-intercept is 3.