Which of the coordinate pairs is a point on the line y = -2/5x + 4? A.) (2, 3)
B.) (-5, 6)
C.) (6, 2)
D.) (-2/5, 4)​

B.) (-5, 6)

Step-by-step explanation:

to solve algebraically, test the coordinate pairs in the equation

to solve graphically, enter the equation into a graphing calculator and graph the coordinate pairs as well to see which one is on the line.

(2, 3) is NOT a solution.

steps for solving algebraically:

first, identify the x and y values in your coordinate pair.

plug in 2 for x in (it doesn't matter if you plug in x or y first, i personally always start with the x-value but it really doesn't matter what order you do it in.)

now plug in 3 for y.

your equation is now 3 = -2/5(2) + 4. begin simplifying by multiplying -2/5 and 2.

now add -0.8 + 4 to simplify the rest of the right side of the equation.

3 and 3.2 are not equal, therefore (2, 3) is not a solution.

(-5, 6) IS a solution.

steps for solving algebraically:

first, identify the x and y values in your coordinate pair.

plug in -5 for x in (it doesn't matter if you plug in x or y first, i personally always start with the x-value but it really doesn't matter what order you do it in.)

now plug in 6 for y.

your equation is now 6 = -2/5(-5) + 4. begin simplifying by multiplying -2/5 and -5.

now add 2 + 4 to simplify the rest of the right side of the equation.

6 and 6 are equal, therefore (-5, 6) is a solution.

although we have identified (-5, 6) as a solution, i'm still going to check the rest of the points just to be sure! :)

(6, 2) is NOT a solution.

steps for solving algebraically:

first, identify the x and y values in your coordinate pair.

plug in 6 for x in (it doesn't matter if you plug in x or y first, i personally always start with the x-value but it really doesn't matter what order you do it in.)

now plug in 2 for y.

your equation is now 2 = -2/5(6) + 4. begin simplifying by multiplying -2/5 and 6.

now add -2.4 + 4 to simplify the rest of the right side of the equation.

2 and 1.6 are not equal, therefore (6, 2) is not a solution.

(-2/5, 4) is NOT a solution.

i see that they want to trick you with this one by using the values that are in other spots in the equation... that's crafty

steps for solving algebraically:

first, identify the x and y values in your coordinate pair.

plug in -2/5 for x in (it doesn't matter if you plug in x or y first, i personally always start with the x-value but it really doesn't matter what order you do it in.)

now plug in 4 for y.

your equation is now 4 = -2/5(-2/5) + 4. begin simplifying by multiplying -2/5 and -2/5.

now add 0.16 + 4 to simplify the rest of the right side of the equation.

4 and 4.16 are not equal, therefore (-2/5, 4) is not a solution.

as for finding the solution on a graph, enter the equation for the line as well as the coordinate pairs into a graphing calculator. here i used a handy little site called desmos in order to graph all of this. the first photo i attached contains what i entered into the calculator, and the second photo i attached shows the graph. as you can see, the only point that is actually on the line is (-5, 6), which is why (-5, 6) is a solution to , and the other coordinate pairs are not solutions to that equation because they are not on the line.

i hope this helps! have a lovely rest of your day <3

answer: what is the conflict?

step-by-step explanation:

*what has happened to new york city?

*what is in the time capsule?

* what did the kidz see that gave them hope?

*what will they do with what they find?

* how will they save the city?

* what challenges will they face along the way?

*what big choice will they make at the climax of the story?

* what lesson do they learn at the end of the story?

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.