Question

Select the two statements that are true about the equation y+6=−10(x−3).

Answer 1

Answer:

The correct options are 1 and 4.

Step-by-step explanation:

The given equation of line is

$y+6=-10(x-3)$                   .... (1)

The point slope form of a line is

$y-y_1=m(x-x_1)$               ..... (2)

Where m is the slope of line and (x₁,y₁) are points.

On comparing (1) and (2) we get

$m=-10,x_1=3,y_1=-6$

The slope of given line is -10 and the line passing through the points (3,-6).

Therefore correct options are 1 and 4.

Answer 2

The slope of the line is -10
y+6=-10(x-3)
y=-10(x-3)-6
y=-10x+30-6
y=-10x+24
slope is y=mx+b where m=slope

one point on the line is (3,-6)
y=-10x+24, plug 3 in for x
y=-10(3)+24
y=-30+24
y=-6