All categories

3 years ago

Write an equation of a line that is parallel to y = 3x – 5 and goes through the point (3, 1).

1 answer:

5 0

Paralell means has same lsope
y=mx+b
m=slope

given
y=3x-5
slope=3

y=3x+b
find b
(3,1)
x=3
y=1
sub and find b

1=3(3)+b
1=9+b
minus 9 both sides
-8=b

y=3x-8 is equation

You might be interested in

Find the slope of any line parallel to the lien through the given points (3,2),(3,1)

Alborosie

Answer:

m = undefined

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Parallel lines have the same slope but different y-intercepts
An undefined line is a vertical line
Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (3, 2)

Point (3, 1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]: $\displaystyle m=\frac{1-2}{3-3}$
[Fraction] Subtract: $\displaystyle m=\frac{-1}{0}$
Simplify: m = undefined

8 0

3 years ago

triangle abc is graphed on a coordinate plane, as shown below. Triangle ABC is dilated by a scale factor of 2 with a center of d

Mademuasel [1]

C is the correct answer i just took that

4 0

2 years ago

25.

bulgar [2K]

Using the slope concept, it is found that the angle between the ladder and the floor will be of 33.69º.

<h3>What is a slope?</h3>

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, we have that:

The angle is of 45º.

The vertical distance is the height of h.

The horizontal distance is of 3m.

Hence:

tan(45º) = h/3.

1 = h/3.

h = 3 m.

If the ladder slides 1 m down, the height will be of 2m, hence the angle will be given as follows:

$\tan{\theta} = \frac{2}{3}$

$\theta = \arctan{\left(\frac{2}{3}\right)}$

$\theta = 33.69^\circ$

More can be learned about the slope concept at brainly.com/question/18090623

#SPJ1

8 0

1 year ago

What is greater 17 quarts or 4 gallons?

stepan [7]

17 quarts is greater. 4 gallons is equal to 16 quarts, right?
So 17 quarts would be greater than 4 gallons or 4.25 gallons
17 QUARTS IS GREATER.

5 0

3 years ago

Madison has a collection of 220 coins. How many coins represent 5% of her

ella [17]

Answer:

220/x=100/5

(220/x)*x=(100/5)*x - we multiply both sides of the equation by x

220=20*x - we divide both sides of the equation by (20) to get x

220/20=x

11=x

x=11.

4 0

2 years ago

Read 2 more answers