Question

Write the following in standard form.

Answer 1

`\huge\boxed{3x+y=23}`

Explanation:

First off, let's note that when given a slope and a point, we will write our equation in the form
`ax+by=c`, where a is the slope and c is the y-intercept.

Since we know the slope, but not the y-intercept, we can start to fill in what we already know.

`3x+y=c`

Therefore to finish this equation, we must find the y-intercept.

Since we know that the point (7, 2) runs through this line, we can plug it into our formula (
`3x+y=c`) to find the y-intercept, b.

2 is the y, 7 is the x, -3 is the slope, so we can plug it into the equation to find b.

• 
  `3(7) + 2 = c`
• 
  `21+2=c`
• 
  `23 = c`

This means that the y-intercept for our graph is 23. Now that we know this, we can plug it into our equation (
`3x+y=c`) as b and finish up the equation for the line.

`3x+y=23`

Hope this helped!