1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
netineya [11]
2 years ago
6

What is the equation of a line that crosses the y axis at (0,-3) and has a slope of 4?

Mathematics
1 answer:
MAXImum [283]2 years ago
8 0
Hi dear,

use this formula:

y - y1= m(x-x1)

Y1 = -3
X1 = 0
m = 4

y-(-3)=4(x-0)

y+3=4x

y=4x-3
You might be interested in
Suppose T is a transformation from ℝ2 to ℝ2. Find the matrix A that induces T if T is reflection over the line y=1/2x
trapecia [35]

Answer:

A = \left[\begin{array}{cc}1&\frac{4}{5}\\\frac{4}{3}&-\frac{3}{5}\end{array}\right]

Step-by-step explanation:

We have to see how the canonical vectors are transformed throught T. Lets first define T in any basis.

Since T is a reflection, then any element of the line y = x/2 if fixed by T. Therefore T(2,1) = (2,1).

On the other hand, any vector perpendicular to the line direction should be sent to its opposite value. We can take, for example, (-1,2) (note that the scalar product (2,1) * (-1,2) = -2+2 = 0). As a consecuence T(-1,2) = (1,-2). We have

  • T(2,1) = (2,1)
  • T(-1,2) = (1,-2)

By summing the first vector with the double of the second one we get, using linearity

T(0,5) = T( (2,1) + 2(-1,2)) = T(2,1) + 2T(-1,2) = (2,1) + 2(1,-2) = (4,-3)

Hence, T(0,1) = (4/5,-3/5)

Now, we take the second vector and substract it the double of the first one (to kill the second variable)

T(-3,0) = T( (-1,2) - 2*(2,1) ) = T(-1,2) -2T(2,1) = (1,-2)-2(2,1) = (-3,-4)

Therefore, T(1,0) = (1,4/3)

The matrix A induced by  T has in its first column T(1,0) and in its second column T(0,1). We conclude that

A = \left[\begin{array}{cc}1&\frac{4}{5}\\\frac{4}{3}&-\frac{3}{5}\end{array}\right]

3 0
3 years ago
How to simplify 14+5(x+3)-7x
aivan3 [116]
<span>14+5(x+3)-7x
14 + 5x + 15 - 7x
29 - 2x</span>
4 0
3 years ago
Read 2 more answers
URGENT! A ball gets hit upwards from a height of 5ft and an initial velocity of 200f/s. When does the ball hit the ground to the
Vinil7 [7]

Answer:

The equation for the object's height s at time t seconds after launch is s(t) = –4.9t2 + 19.6t + 58.8, where s is in meters. When does the object strike the ground.

Step-by-step explanation:

5 0
3 years ago
How do I do a ratio?​
Kamila [148]
A ratio is comparing one thing to another (numbers in this case). You can write ratios in many ways
here’s three different ways.
There are four girls and and 2 boys.
The ratio of girls to boys is:
4:2
4 to 2
4/2

*THE RATIO MUST ALWAYS BE IN ORDER!!! If boys come first in the problem WRITE THE BOYS NUMBER FIRST! If girls come first, WRITE THE GIRLS FIRST IN THE RATIO!!! (That’s a very common mistake) hope this helps!
6 0
2 years ago
Match the situation to the most appropriate graph #7
tatuchka [14]
Graph K. This is because the cost of a gallon of milk is not increasing constantly, as in a linear rate, but it has only increased a few times in a year. Therefore, graph K shows that a gallon of milk is a steady, unchanged price, then the cost rises and stays the same, then rises again and stays the same. So, it is not a linear graph because the cost of the milk is not going up at a constant rate.
4 0
2 years ago
Other questions:
  • Ana hikes at a constant speed. She travels 6 miles in 2 hours. use the equation to find the distance Anna travels in 1.5 hours
    9·1 answer
  • Plz help stuck on the question
    9·1 answer
  • Can someone help me real quick?
    15·1 answer
  • Draw a box and whisker plot of the following data 40,37,29,36,41,39,33
    10·1 answer
  • Which of these is equivalent to 8: 5<br><br>3:4<br><br>3:7<br><br>4:2<br><br>4:3<br><br>Pls help
    13·2 answers
  • HELP!!<br><br>the question is in the picture. i just need question c answered:)​
    14·1 answer
  • An isosceles triangle has two
    13·1 answer
  • How many total outfit options are represented? <br><br>12<br>22<br>30<br> 3​
    14·1 answer
  • A 5-pound bag of apples cost $3.50. Use that rate, to complete the table to identify equivalent ratios, and then answer the ques
    14·2 answers
  • I NEED HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!