Mathematics: What is an equation of the line that passes through the point (6,5) and is parallel to the line x+3y=6 ?

What is an equation of the line that passes through

Ответ:

perezz97

13.01.2022

$y=-\frac{1}{3} x+7$

Step-by-step explanation:

As we know that the line is parallel to the line x+3y=6, we know that it will have the same slope as this equation. To find the slope, we will need to solve for y.

$x+3y=6\\\\3y=6-x\\\\y=2-\frac{1}{3} x$

Once we solve for y, we can see that the slope is $-\frac{1}{3}$

Now that we have the slope and a point, we can use the point-slope formula to find the equation of the line.

This formula says: (y-y_1)=m(x-x_1)

In this formula, m is the slope, x_1 is the x value of the coordinate pair, and y_1 is the y value of the coordinate pair. Knowing this, we can plug in our three known variables into the equation to find the slope of the line.