Question

What is an equation of the line that passes through the points (4,-6) and has a slope of -3

Answer 1

Answer:

1) y = -3x + 6  

Step-by-step explanation:

1) First, write the equation of the line in point-slope form with the given information. Use the point-slope formula $y-y_1 = m (x-x_1)$ and substitute values for $m$, $x_1$, and $y_1$.  

Since $m$ represents the slope, substitute -3 in its place. Since $x_1$ and $y_1$ represent the x and y values of the point the line intersects, substitute the x and y values of (4,-6) into the formula as well. This gives the following equation:

$y+6 = -3(x-4)$

2) Now, isolate the y in the equation to put it in slope-intercept form and find the answer.

$y + 6 = -3(x-4)\\y + 6 = -3x+12\\y = -3x+6$

So, the first option is correct.