Writing in Slope-Intercept Form, 4 Ways (3, 2) & (-3, -4)

Mathematics

1 answer:

andre [41]3 years ago

3 0

Answer:

y = x +1

Step-by-step explanation:

y= mx + b

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

m = (y2-y1)/ (x2-x1) = 2+4 / 3+3 = 6/6 = 1

from the point -slope equation we have

y-y1 = m* (x-x1)

y-3 = 1* ( x-2)

y= x -2+3

y= x +1

so the slope m=1 and the y-intercept b=1

You might be interested in

During the course of a 2,185 mile trip, the Archetti's used 5 full tanks of gasoline. The gas tank of their car holds 23 gallons

Pepsi [2]

Okay, let's use some math..

So multiply first..

2.99 * 5 = $14.95 that she has spent on gas..

23 / 5 = 4.6 gallons of gas left..

But this question is asking how much she had spent on gas, so your answer will be..
She has spent $14.95 on gas..

You can correct me if I'm wrong..

I hope this helps you!

6 0

3 years ago

The population of Mexico has been increasing at an annual rate of 1.7% . If the population was 100,350,000 in the year 2000, pre

damaskus [11]

2015-2000=15 years P=100,350,000×(1+0.017)^(15) P=129,220,575.43

6 0

2 years ago

Read 2 more answers

Which expression is equivalent to square root 55x^7y6/11x^11y^8

Novay_Z [31]

Answer:

$\large\boxed{\sqrt{\dfrac{55x^7y^6}{11x^{11}y^8}}=\dfrac{\sqrt5}{x^2y}}$

Step-by-step explanation:

$\sqrt{\dfrac{55x^7y^6}{11x^{11}y^8}}=\sqrt{\dfrac{55}{11}\cdot\dfrac{x^7}{x^{11}}\cdot\dfrac{y^6}{y^8}}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=\sqrt{5x^{7-11}y^{6-8}}=\sqrt{5x^{-4}y^{-2}}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=\sqrt5\cdot\sqrt{x^{-4}}\cdot\sqrt{y^{-2}}=\sqrt5\cdot\sqrt{x^{(-2)(2)}}\cdot\sqrt{y^{(-1)(2)}}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\sqrt5\cdot\sqrt{(x^{-2})^2}\cdot\sqrt{(y^{-1})^2}\qquad\text{use}\ \sqrt{a^2}=a$

$=\sqrt5\cdot x^{-2}\cdot y^{-1}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\to a^{-1}=\dfrac{1}{a}\\\\=\sqrt5\cdot\dfrac{1}{x^2}\cdot\dfrac{1}{y}=\dfrac{\sqrt5}{x^2y}$