Mathematics, 28.03.2021 06:40 herchellann302

Match each equation with its graph. y = 5x + 2, y = 3x + 3, y = 2x + 3

Answers: 2

Show answers

Answers

Answer from: laywah4

All the graphs for each problem

Match each equation with its graph. y = 5x + 2, y = 3x + 3, y = 2x + 3

Answer from: ethanw8973

Green line: y = 5x + 2

Red line: y = 3x + 3

Purple line: y = 2x + 3

Step-by-step explanation:

1) All the given equations are in slope-intercept form, or y = mx + b format. When an equation is written in this form, the constant on the right side of the equation, or the , represents the y-intercept. The y-intercept is the point at which the line crosses the y-axis.

Knowing this, the y-intercept of y = 5x + 2 must be (0,2). The only graph in which the line crosses the y-axis at the point (0,2) is the one with the green line, thus the graph of is the green one.

2) Now, since the other two equations share the same y-intercept, we have two graphs left. We can find out which graph belongs to which equation by taking a look at the slope of the line. The number in place of , or the coefficient of the x-term in an equation in slope-intercept format represents the slope. Thus, the slope of y = 3x +3 is 3 and the slope of y = 2x + 3 is 2.

Now, find the slope of one of the lines in the graphs. To do so, use the slope formula, $m = \frac{y_2-y_1}{x_2-x_1}$ . Substitute the x and y values of two points on the chosen line into the formula in order to figure out the line's slope. I chose to find the slope of the red line, using the points (0,3) and (-1,0):

$m = \frac{(0)-(3)}{(-1)-(0)} \\m = \frac{0-3}{-1-0}\\m = \frac{-3}{-1} \\m = 3$

So, the slope of the red line is 3. Its equation must be y = 3x + 3 since it has the matching slope. By process of elimination, the purple line must have the equation of y = 2x + 3 .

Answer from: Quest

the rocket cannot penetrate the ground, in a contextual sense, therefore the roots of this equation should be the domain of this function. i'll let you find the roots of this quadratic equation (hint: use the quadratic formula:

1- c

2-a

step-by-step explanation:

mark brainliest!

The graph below represents the height in meters of a toy rocket t seconds after it was launched upwa

Answer from: Quest

1 + (6 / x - 1)

step-by-step explanation:

divide using polynomial division.

Another question on Mathematics

Mathematics, 21.06.2019 14:30

What is the volume of this square pyramid?

Answers: 2

Answer

Mathematics, 21.06.2019 14:40

Write the sentence as an equation. 6 fewer than the quantity 140 times j equals 104

Answers: 2

Answer

Mathematics, 21.06.2019 17:00

Steve wants to develop a way to find the total cost of any item including sales tax. the sales tax in his city is 6%. his friend jenna writes the expression x + 6x where x is the cost of the item. explain whether her expression is correct based on the situation.

Answers: 1

Answer

Mathematics, 21.06.2019 22:10

Monitors manufactured by tsi electronics have life spans that have a normal distribution with a standard deviation of 1800 hours and a mean life span of 20,000 hours. if a monitor is selected at random, find the probability that the life span of the monitor will be more than 17,659 hours. round your answer to four decimal places.

Answers: 2

Answer

You know the right answer?

Match each equation with its graph. y = 5x + 2, y = 3x + 3, y = 2x + 3

...

Questions