Question

What is the equation in standard form of the line that passes through the point (-3,

Answer 1

Answer:

$-3x+y=10$

Step-by-step explanation:

To write this equation we first need to know what the standard form is. Standard form of a line is written as $Ax + By = C$. To get this, we first need to put the equation into point slope form or $y-y1 = m(x-x1)$ where $m$ is slope and $(x1,y1)$ is a point on the graph. Using the information we know we can make the equation $y+2=4(x+3)$.

Now that we have point slope form we need to convert it. To do this we need to first get rid of the parenthesis by distribution. This will give us $y+2=3x+12$

Next, we know we need to get $x$ and $y$ on the same side of the equal sign. We do this by subtracting 3x on both sides to get $-3x+y+2=12$

Finally, we can subtract 2 on both sides to put the equation into standard form. This will give us $-3x+y=10$