Which of the following is the equation of a line that has a slope of -2 and passes through the

Mathematics

2 answers:

Eddi Din [679]2 years ago

4 0

Answer: B. (y=-2x+8)

explanation: use slope point intercept
y-y1=m(x-x1)
y-6=-2(x-1)
y-6=-2x+2
y=-2x+8

KATRIN_1 [288]2 years ago

3 0

Answer:

B. y = -2x + 8

Step-by-step explanation:

So the slope is the number that comes before the x, and if the slope is -2, that means the number before is -2, and it is.

And to know if it goes through (1, 6), put those numbers into the equation and see if they match up (x is the y-intercept)

6 = -2(1) + x

6 = -2 + x

x = 8

The one with both of these is B, which means B is the answer

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Find the equation of the axis of symmetry of the following parabola algebraically.

mr Goodwill [35]

Answer:

the equation of the axis of symmetry is $x=8$

Step-by-step explanation:

Recall that the equation of the axis of symmetry for a parabola with vertical branches like this one, is an equation of a vertical line that passes through the very vertex of the parabola and divides it into its two symmetric branches. Such vertical line would have therefore an expression of the form: $x=constant$ , being that constant the very x-coordinate of the vertex.