All categories

3 years ago

What is the y-intercept of the line that has a slope of -1/2 and passes through the point (2, 3)?

1 answer:

6 0

Hello!

So the equation that you want to use is
y = mx + b

Now you can plug in both the slope and your points to find b.

3 = -1/2(2) + b
3 = -1 + b
4 = b

So now that we've found b, we can use the original equation and only plug in the slope and b

y = -1/2x + 4

So to find the y-intercept, we need to plug in 0 for x

y = -1/2(0) + 4
y = 0 + 4
y = 4

Your y-intercept is (0,4)

Hope this helps!

You might be interested in

The probability that Latisha orders french fries at lunch is .32 and the probability that she orders a grilled cheese and fries

EastWind [94]

There is a typo error in the last part of the question. The corrected part is-

"If the probability that she orders just a grilled cheese sandwich is .76, what is the probability that she will order a grilled cheese or fries?"

Answer:

The probability that she will order a grilled cheese sandwich or fries is <u>0.43.</u>

Step-by-step explanation:

Given:

Probability of ordering fries is, $P(F)=0.32$

Probability of ordering cheese sandwich is, $P(S)=0.76$

Probability of ordering both sandwich and fries is, $P(F\cap S)=0.65$

Probability of ordering cheese sandwich or fries is given by the union of both the events 'F' and 'S' given as $P(F\cup S)$ .

Now, using addition theorem of probability, we get:

$P(F\cup S)=P(F)+P(S)-P(F\cap S)\\P(F\cup S)=0.32+0.76-0.65\\P(F\cup S)=0.43$

Therefore, probability of ordering cheese sandwich or fries is 0.43.

8 0

3 years ago

On a coordinate plane, a dashed straight line with negative slope goes through (0, 1) and (2, negative 2). Everything to the lef

charle [14.2K]

Answer:

$y$

Step-by-step explanation:

The straight line passes through (0,1) and (2,-2).

Equation of a straight line passing through two points (x1,y1) and (x2,y2)

is given by:

$y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}(x-x_{1})$

$y-1=\frac{-2-1}{2-0}(x-0)$

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

Everything to the left of the line is shaded.

We have to visualize the graph:the straight line has a positive y-intercept and a negative slope.The graph is given in the attachment below.

From the figure we can see origin lies on the shaded region.Hence (0,0) should satisfy the inequality.

LHS=y=0

RHS= $-\frac{3x}{2}+1=1\ (x=0)$

LHS<RHS as 0<1

Hence , the inequality is:

$y$

8 0

2 years ago

Read 2 more answers

3. In AABC, a = 35, c = 25, and m can be drawn given these measurements?

Flauer [41]

Only one triangle possible with angle 38.2° at C.

According to the given statement

we have to seek out that the measurement of m with the help of the a and c.

Then for this purpose, we all know that the

The ambiguous case occurs when one uses the law of sines to see missing measures of a triangle when given two sides and an angle opposite one in every of those angles (SSA).

According to the this law

The equation become

35/sin(60) = 25/sinC

sinC = 0.6185895741

C = 38.2, 141.8

Since 141.8+60 = 201.8 > 180

It will not form a triangle.

So, only 1 triangle possible with angle 38.2° at C

Learn more about ambiguous case here

brainly.com/question/4372174

#SPJ1

Disclaimer: This question was incomplete. Please find the full content below.

Question:

Law of Sines and the Ambiguous Case.

In ∆ ABC, a =35, c = 25, and m < A = 60*

How many distinct triangles can be drawn given these measurements?

6 0

8 months ago

ing needs 3 cups of milk to make 30 cookies. How many ounces of milk would he need to make 120 cookies?

Llana [10]

Answer:

12 cup of milk.

Step-by-step explanation:

if 3 cups of milk can make 30 cookies it means 1 cup of milk can make 10 cookies then for 100 cookies we need 10 cup of milk and 30 more means 3 more so answer is 12

8 0

2 years ago

A group of 5 people goes to the theater. If each ticket costs $6.50, is $50 a reasonable estimate for the cost of 5 tickets ? Ex

MAVERICK [17]

No it is not because its more then ten numbers away from the solution of the five tickets

6 0

3 years ago

Read 2 more answers