1. What is the y-intercept of the line 3y-5x=15? 2. What is the slope of the lin...

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October 2022 1 2 Report

1. What is the y-intercept of the line 3y-5x=15?
2. What is the slope of the line y=-x+4?
3.What is the trend of the line 2y=-6x+12?
4. What is the x-intercept of the line 4x-y=12?

Answers & Comments

boxycone

$\pink{ 5}$
$\orange{ -1}$
$\blue{decreasing}$
$\red{ 3}$

Step-by-step explanation:

1. To find the y-intercept of a line, let x = 0. Then,

$3y - 5(0) = 15 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: 3y = 15 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: y =5$

Thus the y-intercept of the line 3y-5x=15 is $\pink{ 5}$

2. Since the given is already in a slope-intercept form. That is, y=-x+4 is in the form, y=mx+b, where m= slope. Therefore,

$m = \orange{ - 1}$

3. Since the slope of the line is negative, which is -3, the trend is

$\blue{decreasing}$

4. To find the x-intercept of a line, let y=0. Then,

$4x - (0) = 12 \\ \: \: \: \: \: \: \: \: \: \: \: \: 4x = 12 \\ \: \: \: \: \: \: \: \: \: \: \: \: x = 3$

Thus, the x-intercept of the line 4x-y=12 is $\red{ 3}$ .

iwillsu25 Hello, can you please help me with another question, please check my profile to see it, ty so much.

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