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
nataly862011 [7]
3 years ago
5

Write the equation of the line that passes through the points (−8,4) and (−3,7). Put your answer in fully reduced point-slope fo

rm, unless it is a vertical or horizontal line.
Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
4 0

Answer:

y =  \frac{3}{5} x + 8 \frac{4}{5}

Step-by-step explanation:

<u>Point slope form</u>

y=mx +c, where m is the gradient and c is the y-intercept.

To find the gradient, use the formula below:

gradient =  \frac{y1 - y2}{x1 - x2}

m =  \frac{7 - 4}{ - 3 - ( - 8)}  \\ m =  \frac{3}{ - 3 + 8}  \\ m =  \frac{3}{5}

Substitute the value of m into the equation

y =  \frac{3}{5} x + c

To find c, substitute a coordinate into the equation.

When x= -3, y=7,

7 =  \frac{3}{5}( - 3) + c \\ 7 =  -  \frac{9}{5}  + c \\ c = 7 +  \frac{9}{5}  \\ c = 8 \frac{4}{5}

Thus, the equation of the line is y =  \frac{3}{5} x + 8 \frac{4}{5)

You might be interested in
Acar traveled 50 miles in 40 minutes. Assume that the car will continue at this constant
zalisa [80]

Answer:

Would 50 divided by 40 work?

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
HELPP!! <br> Find the slope of the line that passes through these two point????
Margarita [4]
The slope is 2/1 and simplified is 2.
7 0
3 years ago
What is the slope of the line?<br> 8x-6y=18
Alchen [17]

Answer: y=4/3x -3

Therefore the slope is 4/3

Step-by-step explanation:

distribute your x to the other side and divide

7 0
3 years ago
Read 2 more answers
150% of a number is x. What is 100% of the number? Assume x&gt;0
lesya [120]

Answer:

0.667x

Step-by-step explanation:

150% = x

100% = ?

=> 100% * x / 150% = 0.667x

7 0
2 years ago
3/4x - 1 = 1/2x + 7
bazaltina [42]
The answer is D, good night
6 0
3 years ago
Other questions:
  • Is 4/5 closer to 0 , 1 or 1/2 ?
    15·1 answer
  • Could anyone help me with this
    15·1 answer
  • Jess new pool holds 1,624 gallons of water he can fill the pool at a rate of 112 per hour how many hours will it take Jess to fi
    5·2 answers
  • Population density is the number of people per unit of area. The population density of a certain region is 65 people per square
    13·1 answer
  • Please help me with this question, thank you so much!!!!!
    10·1 answer
  • A line passes through point 2,9 and has a lope of -5/2 write an equation in Ax +By =C for this line
    9·1 answer
  • find the equation of a circle concentric with the circle x^2+y^2-2x-10y+1=0 passing through the point (2,-3)​
    7·1 answer
  • Add. Write your answer in simplest form.
    8·2 answers
  • Find its x-coordinate.
    9·1 answer
  • Alissa is analyzing an exponential growth function that has been reflected across the y-axis. She states that the domain of the
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!