Question

Write the following in standard form.

Answer 1

Answer:

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

Step-by-step 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!