All categories

3 years ago

What is the slope, m, and the y-intercept of the line that is graphed below?

Mathematics

2 answers:

Brums [2.3K]3 years ago

8 0

Answer: The correct option is

(A) m = 1; (0, 3).

Step-by-step explanation: We are given to find the slope, m, and the y-intercept of the graphed line.

We know that

the slope of a line passing through the points (a, b) and (c, d) is given by

$m=\dfrac{d-b}{c-a}.$

From the graph, we note that the line passes through the points (-3, 0) and (-1, 2).

Therefore, the slope of the graphed line will be

$m=\dfrac{2-0}{-1-(3)}=\dfrac{2}{2}=1.$

Also, at x = 0, the value of the y-coordinate is 3. So, the y-intercept of the line is (0, 3).

Thus, the slope, m = 1 and the y-intercept is (0, 3).

Option (A) is CORRECT.

Alborosie3 years ago

4 0

m=1; (0,3) As the line passes through (0,3) so the y intercept is 3 and the slope is rise/run . Lets take two points (1,4)and (0,3) 3-4/0-1= -1/-1= 1.

m=1 ; y intercept is (0,3)

You might be interested in

What is the relationship between the 6s in the number 7,664

Xelga [282]

The answer to your question is 600 and 60

4 0

3 years ago

Which angle measures are correct ? Check all that apply .

Aneli [31]

Correct
m<2 = 125
m<8 = 55
m<14 = 100
m<16 = 80

8 0

3 years ago

Grace is a 70-year old woman who paid the utility bill online for the first time. She called her bank's customer service center

Murljashka [212]

Answer:

D. poor reputation

Step-by-step explanation:

4 0

4 years ago

Two of the vertices of a rectangle are (1, −6) and (−8, −6). If the rectangle has a perimeter of 26 units, what are the coordina

pantera1 [17]

Answer: $(x_1,y_1)=(1,-2)$

$(x_2,y_2)=(-8,-2)$

Step-by-step explanation:

Given

Co ordinates of vertices(1,-6) and (-8,-6)

When two points is given then Length of two points is given by

$L=\sqrt{\left ( x_2-x_1\right )^2+\left ( y_2-y_1\right )^2}$

$L=\sqrt{\left ( 1-\left ( -8\right )\right )^2+\left ( -6+6\right )^2}$

$L=\sqrt{9^2}=9 units$

Perimeter of rectangle is =26 units

Let the other side be x

thus

$2\left ( x+9\right )=26$

x+9=13

x=4 units

therefore to get the other two co ordinates

such that the length of that side is 4 units is

$(x_1,y_1)=(1,-2)$

$(x_2,y_2)=(-8,-2)$

Horizontal distance will remain same only vertical distance will change in given co ordinates to obtain the remaining two co ordinates

To verify the above two distance between two points must be 13 units

6 0

3 years ago

Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries. He plans to achieve this goal by visi

olasank [31]

Given :

Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries.

He plans to achieve this goal by visiting 5 new countries per year (y) for the next several years.

To Find :

Which inequality and solution shows the amount of years that it will take for Abraham to meet his goal.

Solution :

Let, after x years Abraham visited y countries.

It is mathematically given as :

$10 + 5x=y$

Now, it is given that his goal is minimum of 50 countries.

So,

$10+5x \ge 50\\\\5x\ge 40\\\\x \ge 8$

Therefore, minimum years required to meet his goals are 8.

Hence, this is the required solution.

4 0

3 years ago