Question

What is the equation of the line? Graph of a line in the coordinate plane through the origin and the point begin ordered pair 1 comma 3 end ordered pair. Enter your answer in the box to complete the equation. y =

Answer 1

ur equation is : y = 3x

Answer 2

Here the line passes through (0,0) and (1,3).

First we need to find the slope , and for that we need to use the following formula

`m=(y_(2)-y_(1))/(x_(2)-x_(1))`

On substituting the values from the point, we will get

`m=(3-0)/(1-0)=3`

Now we will use slope intercept form, which is

`y = mx+ b`

Where m is the slope and b is the y intercept

And on substituting the values of x and y from the point (1,3) and slope, m = 3, we will get

`3 = 3(1)+b`

`3=3+b`

b =0

Substituting the values of m and b in the slope intercept form, we will get

`y= 3x`