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4 years ago

Find the slope of the line whose equation is y - 4x = 8.

Mathematics

2 answers:

zavuch27 [327]4 years ago

6 0

The slope is -4. This is because of slope intercept form, y=mxtb. M= the slope so the slope in this case is -4

s2008m [1.1K]4 years ago

5 0

Using the slope-intercept form (y = mx + b), you can easily find the slope! In fact, y = mx + b, where m is the slope of the line, and b is the y-intercept. While not entirely necessary, we'll rewrite the equation in slope-intercept form for simplicity. To write the equation in slope-intercept form, all you need to do is isolate y.
1. y - 4x = 8 : write the equation down
2. y - 4x + 4x = 8 + 4x : Add 4x to each side of the equation so that the -4x on the left side of the equation cancels out.
3. y = 8 + 4x. Combine like terms
4. y = 4x + 8 : Rearrange the terms according to the slope-intercept form (y = mx + b)
Now that our equation is in slope-intercept form, we can easily identify the slope and the y-intercept. y = 4x + 8 If y = mx + b, where m is the slope, and b is the y-intercept, 4 must be the slope! As you get used to doing it, you can take a lot of the steps out, so this equation really only required one or two steps. However, I figured it'd be better to explain it in detail.

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When a number is increased by 9 it is five times its opposite. Find the number.

Alla [95]

Let the unknown number be $x$ .

Then the opposite of this unknown number will be $-x$ .

It is given to us in the question that when this unknown number, $x$ is increased by 9, or in other words when 9 is added to this unknown number, $x$ , then this becomes 5 times it's opposite, which is $-x$ .

Thus, from the given condition in the question, the equation we get is as:

$x+9=-5x$

We will solve this by isolating $x$ as:

$x+5x=-9$

$6x=-9$

$x=-\frac{3}{2} =-1.5$

Thus the required number is -1.5

7 0

3 years ago

Help me with this pls

Dvinal [7]

Answer:

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

6x + 10y = 8 ( subtract 6x from both sides )

10y = - 6x + 8 ( divide each term by 10 )

y = - $\frac{6}{10}$ x + $\frac{8}{10}$ = - $\frac{3}{5}$ x 6 + $\frac{4}{5}$ ← in slope- intercept form

with slope m = - $\frac{3}{5}$ → C

7 0

3 years ago

Mr. Foley wants Alex to cut out a triangle to hang on the class bulletin board. He starts by cutting a line 8 inches long and tw

Scrat [10]

100 degrees. All triangles have 180. So 180-(50+30)=100

3 0

3 years ago

Read 2 more answers

IIIlas' car usses 65 L of petrol to travel 728 km, while Hanis car uses 48 L in 552 km

Alex73 [517]

Answer:

IIIlas' car 74.107 L

Hanis car 72.173 L

Step-by-step explanation:

5 0

4 years ago

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The endpoints of AB are A (-9, -1) and B (-3, 7). Find the coordinates of the<br> midpoint M. *

Leto [7]

Answer:

(-6 , 3)

Step-by-step explanation:

Co-ordinates of A = (-9,-1)

So let x¹ = -9 & y¹ = -1

Co-ordinates of B = (-3,7)

So let x² = -3 & y² = 7

According to Section formula ,

$(x',y') = ( \frac{mx^2 + nx^1}{m + n} ,\frac{my^2 +ny^1}{m + n} )$

where (x' , y') are the co-ordinates of the point which divides a line segment internally & (m , n) are the ratios in which the line is divided into.

As we have to find the co-ordinates of mid-point of AB , here m = n = 1 (∵ A mid-point always divides a line segment into 2 equal parts. Hence the ratio of length of both lines will be 1 : 1 )

Putting the values in the above formula gives :

$(x' , y') = (\frac{-3-9}{1+1} , \frac{7-1}{1+1} ) = (\frac{-12}{2} , \frac{6}{2} ) = (-6 , 3)$

∴ Co-ordinate of M = (-6 , 3)

3 0

3 years ago