Answer:
Slope = 2 y - intercept = ( 0 , -2 ) equation: y = 2x - 2
Explanation:
We can begin solving by first understanding what slope is.
Slope is the rate of change in a line.
The formula for slope is:
(For any two points on a line)
m = y₁ - y₂ / x₁ - x₂
**m is the variable for slope
Two points on the line are: ( 6, 10 ) and ( 2, 2 )
Here is where we'll plug in the formula:
m = 10 - 2 / 6 - 2
m = 8 / 4
m = 2
Now that we have our slope, we only have to look at the graph to find the y-intercept.
The y-intercept is the point on the graph crosses the y-axis (this effectively means that the x value will always be 0)
When we look at the graph, we can see that the y-intercept is: ( 0, -2 )
All that's left is to right the equation in slope-intercept form.
The equation is arranged just as it says in the name:
y = mx + b
(m = slope b = y -intercept)
When we plug in our variables, the equation becomes:
y = 2x - 2