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3 years ago

Write the linear equation in slope-intercept form given the following: (-4, 6); slope = -3/4

Mathematics

1 answer:

Svetlanka [38]3 years ago

5 0

Answer:

6=-3/4x+(-4)

Step-by-step explanation:

The equation of any straight line, called a linear equation, can be written as: y= mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis. So for the given information you can see that they gave you your slope of -3/4 so you fill that in under the m. The point that would cross the y axis would be -4 because when you think of it on a graph you would see it as (-4 y) and (6 x). When you are writing linear equations you use the form y=mx+b.

Hope this helps

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How many

MariettaO [177]

Answer:

Step-by-step explanation:

92/17= 5.4

there are 5 total 17s in 92.

6 0

3 years ago

Sam has fewer baseball cards than Jill (she has 36). There are only three ways that he can arrange all of his cards in equal row

pantera1 [17]

Answer:

27, 30, 33

Step-by-step explanation:

Since Sam has fewer number of baseball cards than Jill who has 36 baseball cards and can arrange all his cards in only three ways, the possible number of baseball cards that Sam could have is 27, 30 or 33.

If he has 27 baseball cards, he can arrange 9 baseball cards per row in 3 rows

If he has 30 baseball cards, he can arrange 10 baseball cards per row in 3 rows

If he has 33 baseball cards, he can arrange 11 baseball cards per row in 3 rows

7 0

3 years ago

Hannah just put a 36-foot long

VARVARA [1.3K]

Answer:

perimeter=sum of all sides

p=2(L+W)

36=2(L+12)

36-24=2L

12=2L

L=6

8 0

2 years ago

Let L be the line parametrized by x = 2 + 2t, y = 3t, z = −1 − t. (a) Find a linear equation for the plane that is perpendicular

Elden [556K]

Answer:

Step-by-step explanation:

Given that L is a line parametrized by

$x = 2 + 2t, y = 3t, z = −1 − t$

The plane perpendicular to the line will have normal as this line and hence direction ratios of normal would be coefficient of t in x,y,z

i.e. (2,3,-1)

So equation of the plane would be of the form

$2x+3y-z =K$

Use the fact that the plane passes through (2,0,-1) and hence this point will satisfy this equation.

$2(2)+3(0)-(-1) =K\\K =5$

So equation is

$2x+3y-z =5$

b) Substitute general point of L in the plane to find the intersecting point

$2(2+2t)+3t-(-1-t) =5\\4+8t+1=5\\8t=0\\t=0\\(x,y,z) = (2,0,-1)$

i.e. same point given.

3 0

3 years ago

Solve the system of equations by substitution: y = x - 2

gizmo_the_mogwai [7]

Step-by-step explanation:

y = x - 2

x + y = 12

Substitute the first expression for y into the second equation.

x + (x - 2) = 12

2x - 2 = 12

2x = 14

x = 7

Now plug into either equation to find y.

y = 7 - 2

y = 5

So the solution is (7, 5).

4 0

3 years ago