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3 years ago

What is the equation of a line that has a y-intercept of 4 and an x-intercept of -2?

Mathematics

1 answer:

Furkat [3]3 years ago

6 0

Answer:

y = 2x + 4

Step-by-step explanation:

Two points on this line are (-2, 0) and (0, 4). Going from the first to the second, x increases by 2 (this is the 'run') and y increases by 4 ('rise').

Thus, the slope of this line is m = rise / run = 4/2 = 2

Using the slope-intercept formula, we get y = mx + b = 2x + b

Let x = -2 and y = 0 to find b: 0 = 2(-2) + b, so b = 4, and the desired equation is then:

y = 2x + 4

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tino4ka555 [31]

Answer:

Please check the explanatio.

Step-by-step explanation:

Solving Part b)

We know that the slope-intercept form of the equation line is

$y=mx+b$

where m is the slope and b is the y-intercept

Given the equation

$4x+2y=16$

Re-writing the equation in the slope-intercept form

$4x+2y=16$

$y=-2x+8$

Here, m=-2 and b=8

Thus, the equation in the slope-intercept form will be:

$y=-2x+8$

Solving Part c)

As you sold two pounds of cheddar cheese.

i.e. y=2

substituting y=2 in the slope-intercept form of the line equation

$y=-2x+8$

$2=-2x+8$

Subtract 8 from both sides

$-2x+8-8=2-8$

$-2x=-6$

Divide both sides by -2

$\frac{-2x}{-2}=\frac{-6}{-2}$

$x=3$

You sold 3 pounds of swiss cheese.

Solving Part d)

$y=-2x+8$

putting x=2.5 in the equation

$y=-2x+8$

$2=-2\left(2.5\right)+8$

$2=3$

The sides are not equal

<em>FALSE</em>

Thus, x=2.5 does not make any sense in the context of the problem.

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2 years ago

Calculate the volume of this regular solid.

IgorC [24]

Answer:

V= 42.41

Step-by-step explanation:

$V = \pi r^{2}\frac{h}{3}$

where r is the radius = 3 and h is the height = 4.5

$V= \pi$ × $3^{2}$ × $\frac{4.5}{3}$

V = 42.41

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2 years ago

What is the equation of a line that has a y-intercept of 4 and an x-intercept of -2?​

What is the equation of a line that has a y-intercept of 4 and an x-intercept of -2?