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

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

On substituting the values from the point, we will get

$m=\frac{3-0}{1-0}=3$

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

$y= 3x$