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

B. Y= -2x + 6

Step-by-step 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

B. Y= -2x + 6

Step-by-step explanation:

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

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

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

The slope is calculated using the formula;

Let and .

Then;

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

The equation is ;

The correct choice is B.

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?