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
stepladder [879]
3 years ago
15

Write the point slope form of the equation of the line using the point (-4,-2)

Mathematics
1 answer:
Gre4nikov [31]3 years ago
8 0

Answer:

y + 2 = \frac{5}{4} (x + 4)

Step-by-step explanation:

1) First, find the slope of the line. Take two points the line intersects and use them for the slope formula, \frac{y_2-y_1}{x_2-x_1}. We already know the line intersects (-4, -2). Just choose any one of the points you can see the line intersecting (in this case, I chose (0,3)) and plug in its values, too. Then solve:

\frac{(3)-(-2)}{(0)-(-4)} \\\frac{3+2}{0+4} \\\frac{5}{4}

So, the slope is \frac{5}{4}.

2) Now that you have the slope, plug in values for the point-slope formula, y - y_1 = m (x - x_1). In order to write a linear equation with it, the x_1, y_1, and m have to be substituted for with real values. The m represents the slope - which means that we should place \frac{5}{4} there. The x_1 and y_1 represent the x and y values of a point - and the questions wants us to use (-4, -2), so substitute -4 for x_1 and -2 for y_1:

y-(-2) = \frac{5}{4} (x - (-4))\\y + 2 = \frac{5}{4} (x + 4)\\

Thus, the answer is y + 2 = \frac{5}{4} (x + 4).

You might be interested in
What is the value of u?
Arturiano [62]

Answer:

W/m²K                  by-step explanation:

8 0
2 years ago
If you bought a stock last year for a price of $67, and it has risen 12% since then, how much is the stock worth now, to the nea
lisabon 2012 [21]

Answer:$75.04

Step-by-step explanation:

last year price=$67

12% of 67

12/100 x 67

(12 x 67) ➗ 100

804 ➗ 100=8.04

Since it has risen by 12%

There new price is 67+8.04=75.04

4 0
3 years ago
Analyze the diagram below and complete the instructions that follow.<br> Find AEB.
aleksandrvk [35]
2x + 50 = 7x
50 = 5x
10 = x
2 (10) + 50
20 + 50
70
m<AEB = 70 degrees
5 0
3 years ago
Read 2 more answers
Given: 2x + 3y= 6.<br>What is the y-intercept?<br>(0,3)<br>(2,0)<br>(0,2)<br>no intercept<br><br>​
nirvana33 [79]
Answer: (0,2) Explanation: You plug in the coordinates into the equation and find which points make the equation true. Plugging in (0,2) turns the equations into (2•0) + (3•2) = 6. Simplify it and you get 6 = 6 which is true.
4 0
3 years ago
What is 16million ×64 no using calculator
SIZIF [17.4K]
<span>one billion twenty-four million</span>
6 0
3 years ago
Other questions:
  • I need help with this
    6·1 answer
  • Mark runs 5 miles in 40 minutes. If he continues at the same rate, can he run 14 miles in 120 minutes?
    10·1 answer
  • I need help with #36 I don’t understand
    14·2 answers
  • -9x-4x Combining Like Terms and Evaluating Algebraic Expressions Activity
    12·1 answer
  • 55%of 600 of what number
    6·2 answers
  • Which expression is the best estimate of 1 1/4 • 3 2/3 ? A) 2 •4 B) 1 •4 C)2•3 D) 1•3
    9·2 answers
  • 2-(3x-4)=2x-9<br><br> Please give step by step answer!! Thanks!
    6·2 answers
  • The point (1, 4) is translated so it ends on the coordinates (-2, 2). Which of the following describes the translation?
    6·1 answer
  • 5) The distance from home plate to dead center field in Sun Devil Stadium is 409 feet. A baseball
    9·1 answer
  • Shapers weighing 320 lb each are packed in shipping crates that each weigh
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!