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
Zigmanuir [339]
3 years ago
10

Write an equation in slope - intercept form passing through (2,5); slope 3 over 4

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
4 0
We can use point slope form then convert to slope intercept

point slope
y-y1=m(x-x1)
m=slope
(x1,y1) is a givn point
point is (2,5)
slope is 3/4
y-5=3/4(x-2)
y-5=3/4x-6/2
add 5
y=3/4x-3+5
y=3/4x+2
You might be interested in
Which of the following functions are solutions of the differential equation y'' + y = 3 sin x? (select all that apply)
DiKsa [7]

Answer:

C

Step-by-step explanation:

We must compute the derivatives and check if the equation is satisfied.

A. y'=(3\sin x)'=3\cos x. Differentiate again to get y''=(3\cos x)'=-3\sin x, then y''+y=-3\sin x+3\sin x=0\neq 3\sin x so this choice of y doesn't solve the equation.

B. y'=3\sin x+3x\cos x-5\cosx +5x\sin x=(5x+3)\sin x+(3x-5)\cos x and y''=5\sin x+(5x+3)\cos x+3\cos x-(3x-5)\sin x=(10-3x)\sin x+(5x+6)\cos x, then y''+y=10\sin x+6\cos x\neq 3\sin x so y is not a solution

C. y'=\frac{-3}{2}\cos x+\frac{3}{2}x\sin x hence y''=\frac{3}{2}\sin x+\frac{3}{2}\sin x+\frac{3}{2}x\cos x=3\sin x+\frac{3}{2}x\cos x. Then y''+y=3\sin x+\frac{3}{2}x\cos x-\frac{3}{2}x\cos x=3\sin x so y is a solution.

D.y'=-3\sin x and y''=-3\cos x, then y''+y=0 thus y isn't a solution

E. y'=\frac{3}{2}\sin x+\frac{3}{2}x\cos x hence y''=\frac{3}{2}\cos x+\frac{3}{2}\cos x-\frac{3}{2}x\sin x=3\cos x-\frac{3}{2}x\cos x. Then y''+y=3\cos x-\frac{3}{2}x\cos x-\frac{3}{2}x\cos x=3\cos x\neq 3\sin x then y is not a solution.

3 0
3 years ago
5.) -6x – 29 = 5x – 7
Umnica [9.8K]

Answer: x= -2

Step-by-step explanation: first step is to add 7 to both sides. You’re left with -6x-22=5x. After this you’re going to add 6 to both sides. You get -22=11x. Now you divide both sides by 11 to get X by itself. You’re left with -2.

6 0
3 years ago
Read 2 more answers
Which method(s) can be used to solve a system of equations? Select all that apply. distributing graphing substitution formulas a
katovenus [111]
Distributing, formulas, and addition
6 0
3 years ago
Find the sales tax on each item<br>19) tennis racket<br>cost: $59.98;<br>sales tax: 6%<br>​
valentinak56 [21]

Before Tax Price: $59.98

Sale Tax: 6.00% or $3.60

After Tax Price: $63.58

6 0
3 years ago
Read 2 more answers
What is the distance between 3, 5 and -4, 1
USPshnik [31]

Answer:

Distance = 8.06

Step-by-step explanation:

We have to use the distance formula d=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2}  }.

(x_{1},y_{1}) = coordinates of the first point

(x_{2},y_{2} ) = coordinates of the second point

To solve, plug the appropriate values into the formula.

d=\sqrt{(-4-3)^{2} +(1-5)^{2} } = \sqrt{65} = 8.062257748

5 0
3 years ago
Other questions:
  • Subtract negative 24 from 11.
    13·2 answers
  • Any 10th grader solve it <br>for 50 points​
    11·1 answer
  • Im feeling good today and who ever sees this its your lucky day<br> here is 100 points
    12·1 answer
  • - Algebra 1~ solving inequality word problems-
    12·1 answer
  • I need help I need to pass This is class
    5·1 answer
  • 2/5 / 2/3 how to divide fractions?
    12·1 answer
  • The parallelogram shown represents a map of the boundaries of a natural preserve. Walking trails run from points A to C and from
    10·2 answers
  • How many solutions does the system have?
    7·2 answers
  • Simplify the expressions<br> 5r + 7 +2
    7·2 answers
  • guys is this answer is 44.8 or is it 21. It’s square roots and cube roots can someone please help mees
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!