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
bija089 [108]
2 years ago
10

I need help To find gradient and y-intercept...

Mathematics
1 answer:
suter [353]2 years ago
3 0

Answer:

a) the gradient of the linear graph is: \mathbf{\frac{-1}{3} }

b) the y-intercept of linear graph is -1

Step-by-step explanation:

a) Find the gradient of the linear graph.

The formula used to find gradient is same as slope

Gradient=\frac{Change \ in \ y \ coordinate}{Change \ in \ x \ coordinate}\\or\\Gradient=\frac{y_2-y_1}{x_2-x_1}

Take any 2 points from the graph.

I will take: (-3,0) and (0,-1)

Putting values in formula and finding gradient

Gradient=\frac{y_2-y_1}{x_2-x_1}  \\Gradient=\frac{-1-0}{0-(-3)} \\Gradient=\frac{-1}{3}

So, the gradient of the linear graph is: \mathbf{\frac{-1}{3} }

b) Find the y-intercept of linear graph

The y-intercept of linear graph is the value of y at the point where the line crosses the y axis.

So, in the given graph, that point is -1

So, the y-intercept of linear graph is -1

You might be interested in
How do you solve the three forms: Slope Y-intercept form Standard Form Point slope form
Nostrana [21]

Answer:An equation in the slope-intercept form is written as

y=mx+b

Where m is the slope of the line and b is the y-intercept. You can use this equation to write an equation if you know the slope and the y-intercept.

Example

Find the equation of the line

Choose two points that are on the line

Calculate the slope between the two points

m=y2−y1x2−x1=(−1)−33−(−3)=−46=−23

We can find the b-value, the y-intercept, by looking at the graph

picture28

b = 1

We've got a value for m and a value for b. This gives us the linear function

y=−23x+1

In many cases the value of b is not as easily read. In those cases, or if you're uncertain whether the line actually crosses the y-axis in this particular point you can calculate b by solving the equation for b and then substituting x and y with one of your two points.

We can use the example above to illustrate this. We've got the two points (-3, 3) and (3, -1). From these two points we calculated the slope

m=−23

This gives us the equation

y=−23x+b

From this we can solve the equation for b

b=y+23x

And if we put in the values from our first point (-3, 3) we get

b=3+23⋅(−3)=3+(−2)=1

If we put in this value for b in the equation we get

y=−23x+1

which is the same equation as we got when we read the y-intercept from the graph.

To summarize how to write a linear equation using the slope-interception form you

Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula.

Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.

Once you've got both m and b you can just put them in the equation at their respective position.

4 0
3 years ago
Plz someone answer this with an explanation
worty [1.4K]

Answer:

1/3

Step-by-step explanation:

8 0
3 years ago
Can someone help me with this question ​
OLga [1]

Answer:

I believe it is because it does not start at 0

3 0
3 years ago
PLZZZZZZZZZZZZZZ HELP ME
ANTONII [103]

Answer:

316.41

Step-by-step explanation:

Because if you mutiply to find both volumes then add the volumes together you would get 316.41

3 0
3 years ago
Glenn ate 2 apples a day for a week. In addition to the apples, he ate 3 pears during the week. write the expression that shows
Mama L [17]

Answer:

17 pieces of fruit in total

Step-by-step explanation:

2x7=14+3=17

7 0
2 years ago
Other questions:
  • Without solving, determine the number of solutions for this system. What does the graph of the system look like?
    14·2 answers
  • Amanda has $5.15 in dimes and quarters. She has eight more quarters than dimes. How many quarters does she have?
    5·1 answer
  • A student runs 100 meters in 11 seconds. What is the speed of the student?
    7·1 answer
  • Please help it’s urgent!!!
    7·1 answer
  • Suppose you are making a model of a boat. The boat is 720 inches long. If you are using the scale 1 inch : 15 inch, find the len
    5·2 answers
  • What is taxes? What is Texas' tax rate?
    15·1 answer
  • Suppose that a randomly generated list of numbers from 0 to 9 is being used
    12·2 answers
  • Find the square root. 7.29 ​
    13·1 answer
  • After a hike, a group of s students equally share 5 boxes of granola bars. Each box has 8 granola bars. Which algebraic expressi
    13·1 answer
  • Let g (x) = -1/2x + 6 and h (x) = g (x) -3 which statement describes the graph of h (x)?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!