Answers
1) slope = -2
Y-intercept = -2
2) Slope = 1/3
Y-intercept = 1
3) Slope = ∞ (Undefined)
Y-intercept = No y-intercept. (Forms at infinity)
Step-by-step explanation
The slope of a line is sometimes called the gradient of a line.
Gradient = Δy/Δx
Y-intercept is the point where the line cuts the y-axis.
line 1
We are going to use two points (-2,2) and (0,-2).
Gradient = (2--2)/(-2-0)
=4/-2
= -2
The line cuts the y-axis at y=-2. So, the y-intercept is -2
Line 2
The point we are going to use are; (-3,0) and (0,1)
Slope = (1-0)/(0--3)
= 1/3
= 1/3
The line cuts the y-axis at t=1. So, the y-intercept is 1.
Line 3
The point point that we are going to use to find the gradient are; (-1,0) and (-1,2).
Slope = (2-0)/(-1--1)
= 2/0
= ∞
The slope of line line is undefined.
The line does not cut the y-axis. They are parallel. So there is no y-intercept. In other words we can say that, the y-intercept is at infinity.