Question

What is the equation in standard form of the line which passes through (4, –2) and has a slope of –3?

x + 3y = 10

x + 3y = –10

3x + y = 10

3x + y = –10

Answer 1

use point slope form
\[y - y_1 = m(x-x_1)\]
your m here is -3 because it's the slope
x1 is 4 because it's the x coordinate
y1 is -2 because it's the y coordinate
\[y - (-2) = -3(x-4)\]
\[y+2 = -3x + 12\]
\[y = -3x + 12 - 2\]
\[y = 3x +10\]