Question

What is the point-slope form of the equation for the line with a slope of -2 that passes through the point (4,-6)

Answer 1

Answer:

$y + 6 = -2 (x-4)$

Step-by-step explanation:

Point-slope formula is represented by the equation $y-y_1 = m (x-x_1)$. When knowing a point a line crosses through and its slope, you can write an equation in this form. Substitute the $m$, $x_1$, and $y_1$ for real values.

The $m$ represents the slope of the line. Since we know the slope is -2, substitute -2 for $m$. The $x_1$ and $y_1$ represent the x and y values of the point the line passes through. Since the line passes through (4, -6), substitute 4 for $x_1$ and -6 for $y_1$. This gives the following answer and equation:

$y-(-6) = -2 (x - (4))\\y + 6 = -2 (x-4)$

Answer 2

Answer:

y=-2x+2

Step-by-step explanation:

y-y1=m(x-x1)

y-(-6)=-2(x-4)

y+6=-2(x-4)

y=-2x+8-6

y=-2x+2