Which equation or function is linear?

Mathematics

1 answer:

zepelin [54]3 years ago

8 0

9514 1404 393

Answer:

C. 2y = (2x-1)/4

Step-by-step explanation:

An equation is linear when the exponents of the variables are 1 and the sum of the exponents of the variables in any term is 1.

a) 3xy = 4 . . . . sum of exponents is 1+1=2

b) f(x) = 2/3(1 -x^2) . . . . exponent is 2

c) 2y = (2x -1)/4 . . . . all exponents are 1 (linear)

d) y = 3/(x+1) ⇒ xy +y = 3 . . . . sum of exponents is 1+1 = 2

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A line that passes through the point (–1, 3) has a slope of 2. Find another point on the line

bezimeni [28]

Y-y1=m(x-x1)
for slope=m
a point =(x1,y1)

slope=2
point= (-1,3)
y-3=2(x+1)
y-3=2x+2
y=2x+5
test given points

A.
(1,5)
5=2(1)+5
5=7
false

B.
(1,4)
4=2(1)+5
4=7
false

C.
(-3,2)
2=2(-3)+5
2=-6+5
2=-1
false

D.
(0,5)
5=2(0)+5
5=0+5
5=5
true

answer is D

6 0

3 years ago

Read 2 more answers

Whats the slope of the line? (Multi choice)<br> 1. 1/2<br> 2. -1/2<br> 3. 2<br> 4. -2

otez555 [7]

Answer:

1. 1/2

Step-by-step explanation:

With a graph that has easily see-able points, slope can be calculated with rise over run, or change in y divided by change in x

$\frac{2-1}{2-0} =\frac{1}{2}$

What does the $\frac{1}{2}$ mean? From any point, the next point will be up one and over to the right two. Since the graph is going from bottom left to top right, it is positive.