Question

Write an equation in point-slope form for the line through the given point with the given slope.

Answer 1

Answer:

Option a

y + 9 = –2(x – 10)

Step-by-step explanation:

Given that a line passes through (10,-9) and slope =-2

We know that a point slope formula is

$y-y_1 =m(x-x_1)$

Here $x_1 =10: y_1=-9:\\m=-2$

Substitute this in the eqution to get

$y-(-9) =-2(x-10)$

Simplifying this

$y+9=-2(x-10)$

Option a) is right.

Answer 2

y -y1= m(x-x1)  is in point slope form

y --9 = -2 (x-10)

y+9 = -2(x-10)