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4 years ago

Write the equation in slope- intercept form of the line that has a slope of -3 and contains the point (1,1)

1 answer:

8 0

Slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept.

Since we know the slope, plug it into the base equation:
y = mx + b
y = -3x + b

We don't know what b is, so plug the point we have into the equation:
y = -3x + b
1 = -3(1) + b
1 = -3 + b
b = 4

Now that we know b, input it into the partial equation:
y = -3x + b

y = -3x + 4 is the equation of the line.

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3x−8≤23 OR −4x+26≥6 solve for x

Mama L [17]

Answer:

x ≤ 31/3

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers

Find the slope and y-intercept for the two linear functions. Linear Functions Identify the slope of the line given in the table:

Natalija [7]

ANSWER

See explanation

EXPLANATION

The table contains these two points (-4,-3) and (2,-4.5)

The slope of this line is given by;

$m = \frac{rise}{run}$

$m = \frac{ - 4.5 - - 3}{2 - - 4} = \frac{ - 1.5}{6}$

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

The y-intercept can be obtained by finding the equation of the line in the form:

$y = mx + c$

We plug in the slope and the point (-4,-3) to find c.

This implies that,

$- 3 = - \frac{1}{4} \times - 4 + c$

$- 3 = 1 + c$

$c = - 3 - 1 = - 4$

Hence the y-intercept is -4.

The given line is

$y = \frac{3}{2} x + 1$

This is already in the slope intercept form:

The slope is

$m = \frac{3}{2}$

The y-intercept is c=1

5 0

3 years ago

Read 2 more answers

WILL GIVE BRAINLIEST, PLEASE HELP ASAP!!! MY LIFE DEPENDS ON THIS!!!

ahrayia [7]

h(x) = 3 * (2)^x

Section A is from x = 1 to x = 2

h(1) = 3 * (2)^1 = 3 * 2 = 6

h(2) = 3 * (2)^2 = 3 * 4 = 12

the average rate of change = (12 - 6)/(2 - 1) = 6

Section B is from x = 3 to x = 4

h(3) = 3 * (2)^3 = 3 * 8 = 24

h(4) = 3 * (2)^4 = 3 * 16 = 48

the average rate of change = (48 - 24)/(4 - 3) = 24

Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points)

the average rate of change of section B is 24 and the average rate of change of section A is 6

So 24/6 = 4

The average rate of change of Section B is 4 times greater than the average rate of change of Section A

It's exponential function, not a linear function; so the rate of change is increasing.

7 0

3 years ago

Suppose there is no outcome common to all three of the events A, B, and C.

mina [271]

Answer:

Yes, the event are mutually exclusive...

Step-by-step explanation:

Event are mutually exclusive if those event cannot occur at the same time. That is the definition of mutually exclusive for instance in a football match, a certain team canot score 0 and 2goals in a match, it is either he scored 2goals or zero goals... In a throw of a coin we cannot have head and tail at the same time, it is either we have a head or a tail, all the event are mutually exclusive.

Now if we have a dealer selling blue car and two doors car. Let say 20% are blue and 10% have two doors. Then, this are not mutually exclusive because we can have a car that is blue and have two doors.

Mutually exclusive events are like disjoint set in SET theory, where A intersection B intersection C is equal to empty set.

Where A n B n C= {} empty set

6 0

4 years ago

HELPPPPPPPPPPPPPPPPP!!

goldfiish [28.3K]

Answer:

option 3

Step-by-step explanation:

V= πr²h

to make h the subject

h= V÷πr²

just take πr² to the other side

as it in multiplication on the left hand side, it will in division in right hand side.

hope it helps!

5 0

3 years ago