A line is parallel to y = 4x + 11 and intersects the point (-2, 4). What is the
equation of this parallel line?

see below

Step-by-step explanation:

SLOPE

> In this case, this other line is parallel to yours. Which means that they have the same slope (go in the same direction). The slope of the given line is 4 (the # in front of x), so your slope is also 4.

Y-INTERCEPT

> To find the y-intercept you can either:

- Use point-slope form with the given ordered pair (-2, 4) and the slope 4 (using this method gives you the equation)

- Or plug in (-2, 4) as x and y, and 4 as m in the model "y = mx + b" and solving for b, which is the y-intercept.

- Let's use the second model.

y = mx + b

4 = 4(-2) + b

4 = -8 + b

+ 8 on both sides

12 = b

Thus, m = 4 and b = 12

- The equation of your line is y = 4x + 12

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !