Question

The slope of the line below is -2. Use the coordinates of the labeled point to find the point-slope equation of the line. (4, -6)

Answer 1

Answer:

The point-slope equation of the line is $y = -2x +2$ or $2x+y = 2$

Solution:

Let us assume that the slope is m and the y intercept of the line is b

Hence, $y=m x+b$--------- (i)

y intercept means we need to find the value of y when x is 0

Here the line passes through point (4,-6) and slope m = (-2)

Now putting the point (4,-6) in equation (i) we get,

$\Rightarrow-6 = m\times4 +b$

$\Rightarrow-6 = (-2)\times4 +b$

$\Rightarrow-6 = -8 +b$

$\Rightarrow-6+8 =b$

$\Rightarrow b = 2$

So, the equation of the line will be will be $y = -2x +2$ or $2x+y = 2$