Mathematics, 21.11.2020 03:00 AariyahFennell

PLEASE HELP 15 POINTS 1. An architect is drawing a sketch for a new building. He uses graphs of lines on a coordinate plane to sketch out his ideas. The architect has plotted the graph of the line 4x + 16y = 8.
What is the equation of the line he has graphed in slope-intercept form? (Reduce all fractions)
2
Write the equation in slope-intercept form perpendicular to the original line that goes through the point
(-6, -19)
3
Write the equation in slope-intercept form parallel to the original line that goes through the point (-8,6).

PLEASE HELP 15 POINTS 1. An architect is drawing a sketch for a new building. He uses graphs of lin

Answers: 2

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Answers

Answer from: creeper2737

1) $y=-\frac{1}{4}x+\frac{1}{2}$

2) y=4x+5

3) $y=-\frac{1}{4}x+4$

Step-by-step explanation:

Question 1:

All you have to do is solve for y to get the slope intercept form.

$4x+16y=8\\16y=-4x+8\\y=-\frac{1}{4}x+\frac{1}{2}$

So the equation is $y=-\frac{1}{4}x+\frac{1}{2}$

Question 2:

Now for this one you have to find the line perpendicular to the previous equation.

Finding the slope:

So first we need to find the slope and usually the slope of a perpendicular line is the opposite and the reciprocal to the original equation. So instead of $-\frac{1}{4}$ it will be $\frac{4}{1}$ or even easier to manage .

Finding the y-intercept:

For the y-intercept we need to plug in what we know into this formula.... y=mx+b

We know the slope is and we could use the ordered pair that they provided us with (-6,-19) . The -6 is the x and the -19 will be the y. Now let's plug in and solve.

$y=mx+b\\-19=4(-6)+b\\-19=-24+b\\b=5$

Writing the equation:

Now we know all the information needed to write the equation.

$y=mx+b\\m=4\\b=5$

Now we just fill it in the formula...

y=4x+5

Question 3:

For a parallel equation the slope will be the same in order for them to be parallel to each other.

Finding the y-intercept:

For the y-intercept we need to plug in what we know into this formula.... y=mx+b

We know the slope is $-\frac{1}{4}$ and we could use the ordered pair that they provided us with (-8,6) . The -8 is the x and the 6 will be the y. Now let's plug in and solve.

$y=mx+b\\6=-\frac{1}{4}(-8)+b\\6=2+b\\b=4$

Writing the equation:

Now we know all the information needed to write the equation.

$m=-\frac{1}{4}\\b=4$

Now we just fill it in the formula...

$y=-\frac{1}{4}x+4$

Answer from: Quest

Answer: choice c and choice d

=====================================

explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

Which functions have an additive rate of change of 3? check all that apply

Answer from: Quest

The answer is
Will give brainliest answer the following questions. tom worker pays $1,200 annually for $90,000 wor

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