I believe the fastest way to solve this problem is to take any two of the given points and to find the slope and y-intercept of the line connecting those two points.

Let's choose the 2 given points (-3,16) and (-1,12).
Going from the first point to the second, the increase in x is 2 and the increase in y is actually a decrease: -4. Thus, the slope of the line connecting these two points is m = -4/2, or m = -2.

Now use the slope-intercept formula to find the y-intercept, b.

One point on the line is (-3,16), and the slope is m = -2.

Thus, the slope-intercept formula y = mx + b becomes 16 = -2(-3) + b.
Here, b comes out to 10.

So now we have the slope and the y-intercept. Write the equation:

y = mx + b becomes y=-2x+10. Which of the four given answer choices is the correct one?

3 0

2 years ago

Select all values of x that make the inequality -x + 8 ≥11 true.

mash [69]

-x + 8 ≥ 11

-x ≥ 3

x ≤ -3

Hope this helps! ;)

8 0

3 years ago

A learner finds a deck of 52 cards and then takes one card from the deck. What is the probability that the card is a king? Write

iVinArrow [24]

Answer:

The odds of choosing a club from a full deck is 13/52, or 1/4. Since there are now only 51 cards and 12 clubs, the odds are 12/51, or .2352

7 0

1 year ago