Question

What is the equation of each line in slope intercept form

Answer 1

Solution below

Explanation:

Standard form of Equation of line: y = mx + c

where m is the slope,

c is the y-intercept (value of y when the line intercepts the y-axis)

Just by looking at the graph, without performing any calculations, we can see it cuts the y-axis at x = 0 , y = 0.

So we know for sure the equation of line is:

y = mx + 0

y = mx

Now we have to find the slope for this line.

Lets pick 2 random points (2,-2) and (0,0).

Lets assign them:

(2,-2) as (x2, y2)

(0,0) as (x1, y1)

Slope =

`(y2 - y1)/(x2 - x1) \\ = ( - 2 - 0)/(2 - 0) \\ = ( - 2)/(2) \\ = - 1`

Therefore, the equation of this line is:

y = -1x

y = -x