All categories

2 years ago

Find an equation of the line that satisfies the given conditions. through (2,3); slope 5

Mathematics

1 answer:

max2010maxim [7]2 years ago

8 0

Answer:

y = 5x - 7

Step-by-step explanation:

Here, we are given two clues:

It must pass the point (2, 3)
It must have a slope of five

Let us put the slope into the slope intercept form.

y = 5x + b

We do not know what b is. So, we can go onto Desmos (a secure, graphing website) to see what the y-intercept is. If we do so, we see that we must move the line 7 units downwards to hit the point (2, 3). This means that the equation is:

y = 5x - 7

Hope this helps!

You might be interested in

Write the expression as a product:<br><br> 1–(2x–1)^2

postnew [5]

Answer:

$1- ( { 2 x - 1)}^{2} = 4x (1 - x )$

Step-by-step explanation:

We want to to rewrite

$1 - ( { 2 x - 1)}^{2}$

Use difference of two squares to get:

${a}^{2} - {b}^{2} = (a + b)(a - b)$

This implies that:

${1}^{2} - ( { 2 x - 1)}^{2} = (1 +( 2x - 1))(1 - (2x - 1))$

${1}^{2} - ( { 2 x - 1)}^{2} = (1 + 2x - 1)(1 - 2x + 1)$

This finally simplifies to:

${1}^{2} - ( { 2 x - 1)}^{2} = 2x (2 - 2x )$

Therefore the required product is

$2x (2 - 2x ) = 4x(1 - x)$

3 0

2 years ago

8tbsp. 2tsp.<br> x 15<br> _________

uysha [10]

The answer is 130 tablespoons

3 0

2 years ago

Which of the following is true about a linear function?

UkoKoshka [18]

It has a constant rate of change

3 0

2 years ago

Dan bought 1/8 of a pound of

Alja [10]

Answer:

he bought 1 pound

Step-by-step explanation:

1/8 + 7/8 = 7+1=8, same denominator so it stays, =8/8=1

4 0

2 years ago

Read 2 more answers

The height of a triangle is 4 times its base. if he are of a triangle is 200cm, what is the height

uranmaximum [27]

A = (h * b) / 2
A = 200
h = 4b

200 = (b(4b) / 2
200 * 2 = b * 4b
400 = 4b^2
400 / 4 = b^2
100 = b^2
sqrt 100 = b
10 = b ..... base is 10 cm

h = 4b
h = 4(10)
h = 40 <=== height is 40 cm

3 0

2 years ago