Question

What is the slope intercept equation of this line? (0,6) (4,-2)

A. Y= -1/2 x + 6
B. Y= -2x + 6
C. Y= 6x - 2
D. Y= 2x + 6

Answer 1

B. Y= -2x + 6

Explanation:

(0,6) (4,-2)

Slope = (6 + 2)/(0 - 4)

=8/ -4

= -2

y intercept = 6

Equation:

y = -2x + 6

Answer

B. Y= -2x + 6

Answer 2

B. Y= -2x + 6

Explanation:

The given line passes through; (0,6) and (4,-2).

The slope-intercept equation of this line is given by;

`y=mx+c`

Where m is the slope and c is the y-intercept.

The slope is calculated using the formula;

`m=(y_2-y_1)/(x_2-x_1)`

Let
`(0,6)=(x_1,y_1)` and
`(4,-2)=(x_2,y_2)`.

Then;

`m=(-2-6)/(4-0) =(-8)/(4)=-2`

The point (0,6) is the y-intercept because the x-coordinate is 0, hence c=6.

The equation is ;

`y=-2x+6`

The correct choice is B.