Question

What is the equation of this line

Answer 1

The answer is y=4x-6

Answer 2

y=4x-6

Explanation:

The equation of the line is y=mx+c where m is the slope and c is the intercept.

To find the slope, take two points
`(x_(1),y_(1))` and
`(x_(2),y_(2))` and use the equation
`m=(y_(2)-y_(1))/(x_(2)-x_(1))`. Let's take (1,-2) and (2,2) as our two points:

`m=(2-(-2))/(2-1)=(4)/(1)=4`

The y-intercept is where the line crosses the y-axis. We can see from the graph that the line crosses the y-axis at -6, therefore c= -6.

Now we can write the equation of this line: y=4x-6