Identify the equation in slope intercept from that has a slope of 2 and goes through the point (4, 6).

Mathematics

2 answers:

tresset_1 [31]2 years ago

8 0

Answer:

D) y=2x-2

Step-by-step explanation:

y-y1=m(x-x1)

y-6=2(x-4)

y=2x-8+6

y=2x-2

Mars2501 [29]2 years ago

5 0

Answer:

y = 2x−2

Step-by-step explanation:

You are given a slope and a point, so you can write the equation using point-slope form:

y -k = m(x -h) . . . . . . a line with slope m through point (h, k)

Putting in the numbers given, you have ...

y -6 = 2(x -4)

y = 2x -8 +6 . . . . eliminate parentheses, add 6

y = 2x -2 . . . . . . . collect terms.

You know that the slope is the coefficient of x, so the first choice is eliminated right away. Trying the point values in the other equations shows you that they only work for the last choice, as shown above.

2·4 +14 = 22 ≠ 6 . . . . second choice doesn't work
2·4 +6 = 14 ≠ 6 . . . . . third choice doesn't work
2·4 -2 = 6 . . . . . . y = 2x-2 is the equation that works

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AlekseyPX

9514 1404 393

Answer:

as x increases, f(x) decreases;
as x decreases,f(x) decreases

Step-by-step explanation:

The function is of even degree with a negative leading coefficient. f(x) will tend toward negative infinity as x gets larger or smaller. That is ...

as x increases, f(x) decreases;
as x decreases,f(x) decreases

_____

Even degree means the end behaviors are the same for both large and small x. Negative leading coefficient means the function value decreases for larger x.