All categories

3 years ago

Write the equation of the line in fully simplified slope-intercept form…. pleaseee help

Mathematics

1 answer:

inysia [295]3 years ago

7 0

Answer:

y = -x + 2

Step-by-step explanation:

Given the two points on the graph, (-2, 4) and (0, 2), we can start by solving for the slope of the line.

Let (x₁, y₁) = (-2, 4)

(x₂, y₂) = (0, 2)

Substitute these values into the following slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (2 - 4) / [0 - (-2)]

m = -2/ (0 + 2)

m = -2/2 = -1

Therefore, the slope of the line is -1.

Next, we need to determine the y-intercept of the line, which is the point on the graph where it crosses the y-axis. Upon observing the graph, it is evident that it crosses the y-axis at point (0, 2), which happens to be one of the points we used to solve for the slope. Its y-coordinate, y = 2, is what we will use as the value of b in the slope-intercept form, y = mx + b.

Therefore, given the slope, m = -1, and the y-intercept, b = 2, the equation of the line is:

You might be interested in

4.Thirty percent of the liquid evaporated. If 560 milliliters remain, how many milliliters evaporated?

Vitek1552 [10]

392 millimeters I think that's the answer but I'm not sure

5 0

3 years ago

Read 2 more answers

RT has the endpoints (0, 2) and (4, 2). What is its midpoint?

Nimfa-mama [501]

R=(0,2), T=(4,2)
vector:
v=(4-0,2-2)=(4,0)
v/2=(2,0)

(0,2)+v/2=(2,2)

so (2,2) is the midpoint

3 0

3 years ago

Read 2 more answers

What is the theoretical probability of picking a diamond, not replacing it, and then picking another diamond? Write your answer

BARSIC [14]

You start with a 1/4 chance of picking a diamond.
you remove it from the deck you now have a 12/51 chance of picking a diamond
1/17 is your answer!

Like my answer? Make it a Brainliest! Thanks!

3 0

3 years ago

Elisa says, "If you subtract 14 from my number and multiply the difference by -3 , the result is -33 ." What is Elise's num

Svetach [21]

Answer:

Step-by-step explanation:

(x-14)*-3 = -33

-3x+42 = -33

-3x = -33-42

-3x = -75

x=25

6 0

3 years ago

Match each function formula with the corresponding transformation of the parent function y = (x - 1)2 1. y = - (x - 1)2 Reflecte

lawyer [7]

Answer:

y = -(x-1)² . . . . reflected over the x-axis
y = (x-1)² +1 . . . . translated up by 1 unit
y = (x+1)² . . . . reflected over the y-axis
y = (x-2)² . . . . translated right by 1 unit
y = (x-1)² -3 . . . . translated down by 3 units
y = (x+3)² . . . . translated left by 4 units

Step-by-step explanation:

Since you have studied transformations, you are familiar with the effect of different modifications of the parent function:

f(x-a) . . . translates right by "a" units
f(x) +a . . . translates up by "a" units
a·f(x) . . . vertically scales by a factor of "a". When a < 0, reflects across the x-axis
f(ax) . . . horizontally compresses by a factor of "a". When a < 0, reflects across the y-axis.

Note that in the given list of transformed functions, there is one that is (x+1)². This is equivalent to both f(x+2) and to f(-x). The latter is a little harder to see, until we realize that (-x-1)² = (x+1)². That is, this transformed function can be considered to be either a translation of (x-1)² left by 2 units, or a reflection over the y-axis.

8 0

3 years ago