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
Rasek [7]
3 years ago
12

if a line crosses the y-axis at (0, 1) and has a slope of `4/5`, what is the equation of the line? A. 4y − 5x = 5 B. y − 4x = 5

C. 5y + 4x = 5 D. 5y − 4x = 5
Mathematics
2 answers:
slamgirl [31]3 years ago
5 0

Answer:

option (d) is correct.

if a line crosses the y-axis at (0, 1) and has a slope of \frac{4}{5}, then equation  of line is 5y - 4x = 5.

Step-by-step explanation:

Given : if a line crosses the y-axis at (0, 1) and has a slope of \frac{4}{5}.

We need to find the equation of line.

Equation of line is of the form y = mx + c, where m is the slope of line and c is the y- intercept. that is the point where line meets y- axis.

Given y intercept at (0, 1 ) ⇒ c = 1

Also, slope m = \frac{4}{5}

Substitute it in equation,  we get ,

y = mx + c ⇒  y=\frac{4}{5}x+1

Solving , we get equation of line as ,

5y = 4x + 5 ⇒ 5y - 4x = 5

Thus, option (d) is correct.

if a line crosses the y-axis at (0, 1) and has a slope of \frac{4}{5}, then equation  of line is 5y - 4x = 5.

Colt1911 [192]3 years ago
5 0

Answer:

Choice D is correct answer.

Step-by-step explanation:

From question statement, we observe that

Slope is given and  a point is given .

slope =  4/5   and point is (0,1)

y = mx+c is equation of line where m is slope and c is y-intercept.

y-intercept is a point where the value of x is zero.

hence, y-intercept = c = 1

Putting the given values in formula, we have

y = (4/5)x+1

y =( 4x+5) / 5

5y = 4x+5

Adding -4x to both sides of above equations, we have

5y-4x = 4x+5-4x

5y-4x = 5 is equation of line that crosses the y-axis at (0,1) and has a slope of 4/5.

You might be interested in
Picture shows question
GalinKa [24]
All work is show in the picture below.

5 0
3 years ago
Line AB passes through points A(−6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y=mx+b, the
NeX [460]

Answer:

m = -1/6.

b = 5.

Step-by-step explanation:

Slope m =  (3 - 6) / (12 - -6)

=  -3 / 18

= -1/6.

y = -1/6 x + b

when x = 12 y = 3 so

3 = -1/6 * 12 + b

b =  3 + 2 = 5.

5 0
3 years ago
Read 2 more answers
You add a 4-foot-by-4-foot section of land to a 6-foot-by-8-fooy garden. Find the area of the new garden.
tamaranim1 [39]

Answer:

64ft

Step-by-step explanation:

1. find the area of both plots of land.

      4x4=16       6x8=48

2. add the two areas together

     16+48=64ft

6 0
3 years ago
the distance to the meeting place is 1047 miles if his car gets 29 mpg how many gallons of gas will he need
Gnom [1K]

Answer:

36.1g

Step-by-step explanation:

29mi ..... 1 g

1047mi....x

x=1047×1/29=36.1g

8 0
3 years ago
Read 2 more answers
the company delivered 1 3/5 tons of bricks to one building site. they delivered 2 1/2 times this much to a second site. what was
Sergio [31]
2 11/10....................
5 0
3 years ago
Other questions:
  • What is the order magnitude for the number of days in a year ?
    10·2 answers
  • A scientist was in a submarine below sea level studying ocean life over the next 10 minutes she went down 58 ft how many feet ha
    14·1 answer
  • Can someone answer 1 and 2 for me? thanks so much in advance :p
    8·2 answers
  • ⚠️Suppose you have two savings accounts, both with a principal of $200 and an interest rate of 3%, but one earns simple interest
    11·1 answer
  • Which two numbers does √52 lie between on a number line? ​
    12·1 answer
  • Which of the following inequalities is correct?
    6·1 answer
  • 7.<br>(-3x³)(-2x³y⁴z)(-3z²)÷(4x³z)(-3yz) (-3xyz)​
    9·1 answer
  • What expression is a factor of 18x²-15x+2
    13·1 answer
  • Pls help this is important
    15·2 answers
  • Use the given value and the trigonometric identities to find the remaining trigonometric functions of the angle.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!