All categories

3 years ago

Through:(-1, -2), slope = 5

Mathematics

1 answer:

kherson [118]3 years ago

6 0

Answer:

y=5x+3

Step-by-step explanation:

Hi there!

We're given the point (-1, -2) and a slope of 5. We need to find the equation of the line in slope intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

Since we're already given the slope, we can substitute that immediately into the equation

here it is so far:

y=5x+b

now we need to solve for b

Since the line will pass through the point (-1,-2), we can use it to solve for b

substitute -1 as x and -2 as y into the equation

-2=5(-1)+b

multiply

-2=-5+b

add 5 to both sides

3=b

substitute that into the equation

therefore, the equation of the line is <u>y=5x+3</u>

Hope this helps! :)

You might be interested in

A class has 12 males and 15 females. There's 7 males and 9 females in class who plays tennis. If a student is chosen from the cl

Vsevolod [243]

First, let's make a two-way table using a matrix:

$\left[\begin{array}{cccc}&Tennis&No&Total\\Male&7&5&12\\Female&9&6&15\\Total&16&11&27\end{array}\right]$

A. $\frac{6}{27}\\\frac{2}{9}$

B. $\frac{7}{27}$

4 0

3 years ago

Hi need help on hw plz help me out my questions is - a rectangle has a length of 14cm and width 9.5cm the length increased by 6%

sweet-ann [11.9K]

Answer:

Part a) $21.9\%$

Part b) $82.03\%$

Step-by-step explanation:

we know that

The original area of rectangle is equal to

$A=(14)(9.5)\ cm^{2}$

if the length is increased by 6% and the width is by 15%

then

the new area is equal to

$A=[1.06(14)][1.15(9.5)]\ cm^{2}$

$A=(1.06*1.15)(14)(9.5)\ cm^{2}$

$A=(1.219)(14)(9.5)\ cm^{2}$

The new area is (1.219) times the original area

Part a) Calculate the percentage change in area of the rectangle

$1.219-1=0.219$

convert to percentage

$0.219*100=21.9\%$

Part b) what is the original area as a percentage of the increased area of the rectangle?

Divide the original area by the increased area

$\frac{(14)(9.5)}{(1.219)(14)(9.5)} =\frac{1}{1.219} \\ \\=0.8203$

Convert to percentage

$0.8203*100=82.03\%$

8 0

4 years ago

An auto mechanic charges (C) an initial fee of $50 and then $40 per hour. The graph of this model would be:

victus00 [196]

The graph of this model would be a straight line that increases only option third is correct.

<h3>What is a line graph?</h3>

A line graph is a graph made up of segments of straight lines that connect the depicted data points.

We have:

An auto mechanic charges (C) an initial fee of $50 and then $40 per hour.

Let T be the total fee and h is the number of hours

T = 50 + 40h

The above equation represents a graph of a straight line as the slope of the line is positive.

m = 50

Thus, the graph of this model would be a straight line that increases only option third is correct.

Learn more about the line graph here:

brainly.com/question/23680294

#SPJ1

7 0

2 years ago

We have a number line 415,418,423,427,430 what is the missing number

ICE Princess25 [194]

421 would be the missing number.

Hope I Helped!!

8 0

4 years ago

Read 2 more answers

What percent of 120 is 42

poizon [28]

35%.

42/120 = 0.35.

0.35 X 100 = 35. That tells us 42 is 35% of 120.

6 0

3 years ago