Write an equation in standard form of the line that isgraphed. Then find the x- and y-intercepts.

The equation of the line in standard form is
1.) 4x - 5y = -1
2.) 4x - 5y = 9
3.) 5x - 4y = 9
4.) 5x - 4y = -1

The x-intercept is
1.) -9/5
2.) -5/4
3.) 1/5
4.) 9/4

The y-intercept is
1.) -9/5
2.) -5/4
3.) 1/5
4.) 9/4

Answers

Answer 1

Answer:

The equation of the line in standard form is 4x - 5y = 9
The x-intercept is 9/4
The y-intercept is -9/5.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take points (1, -1) and (-4, -5)

so, slope of line

= -5 + 1 / (-4 -1)

= -4 /(-5)

= 4/5

So, the equation of line is

y+ 1= 4/5 ( x- 1)

y + 1 = 4/5x -4/5

y= 4/5x - 4/5 - 1

y= 4/5x - 9/5

4x - 5y = 9

So, the x- intercept is 9/4 and y- intercept is -9/5.

Learn more about slope here:

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Answer 2

Answer:

Answer: equation= 4x-5y= 9

x intercept= 9/4

y intercept= -9/5

Step-by-step explanation: It was right on E2020

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Answers

I think the answers .1823

Ronda Rollins gets a Social Security benefit of $350 per month. Her husband receives a benefit equal to 200 percent of Ronda's benefit. If they take an additional $400 per month from savings, what will their monthly income be?700
750
1,050
1,450

Answers

Answer

Find out the what will their monthly income be .

To proof

Let us assume that the their monthly income be x .

As given

Ronda Rollins gets a Social Security benefit of $350 per month

Her husband receives a benefit equal to 200 percent of Ronda's benefit.

If they take an additional $400 per month from savings .

200% written in the decimal form

$= (200)/(100)$

Than the equation becomes

$x = 350 + 2* 350 + 400$

x = 350 + 700 + 400

x= $1450

Therefore monthly income be $1450 .

Option (D) is correct .

Hence proved

350+(2*350)+400=1450

What is the slope-intercept equation for the line below?

Answers

Answer: D

Step-by-step explanation:

If we look at the graph we can see that the line intercepts the y-axis at (0,-4), so the intercept must be -4.

If we use the rise-over-run formula for (0,-4) and (4,1) we would get:

$(1--4)/(4) \n\n=(5)/(4)$

Since the line is going upwards, the equation must be positive.

Therefore, the equation in slope-intercept form is y=5/4x-4.

Answer is D

First, we can eliminate option b and c because they are negative, and the line in the graph is goin up.
Then you count and get that the m is 5/4, put it together: y=5/4x-4

If Ying Zyiyu covers the first 200 miles of a trip going at 50 mph and the last hundred going 40 mph, what was his average speed for the entire trip?

Answers

the person covers different distances at different speeds

to find the average speed we have to find the total distance travelled and the total time taken

average speed = total distance travelled / total time taken

first 200 miles

speed - 50 mph

time taken for 50 miles - 1 hour

then time for 200 miles - 1/50 x 200 = 4 hours

last 100 miles

speed - 40 mph

time taken for 40 miles - 1 hour

time for 100 miles - 1/40 x 100 = 2.5 hours

total time taken for a distance of 300 miles - 2.5 + 4 = 6.5 hours

average speed = 300 miles / 6.5 hours = 46.2 mph

average speed is 46.2 mph

Ann Nguyen would like an installment loan for 5,000. Her bank will loan her the money at 12% for 18 months. Her insurance company will loan her the money at 12% for 24 months. Which loan would cost her less?

Answers

The Bank will provide loan on lesser cost.

The simple interest is given as,

$Interest=(Principle*rate *time)/(100)$

Given that, Principle is $5000$ , rate is 12 % and time is 18 months.

Time = 18 months= $(18)/(12)=1.5 years$

$Interest=(5000*12*1.5)/(100)=900$

Also, Her insurance company will loan her the money at 12% for 24 months.

$Interest=(5000*12*2)/(100) =1200$

Hence, the Bank will cost her less.

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