Question

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

The slope of the line is −10.
The slope of the line is 3.
One point on the line is (3, 6).
One point on the line is (3,−6)

Answer 1

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

Answer 2

The correct options are 1 and 4.

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.