All categories

1 year ago

Graph the line that passes through the points (6,-4) and (3,-6) and determine

Mathematics

1 answer:

antoniya [11.8K]1 year ago

5 0

Answer:

$y = \frac23x - 8$

Step-by-step explanation:

Hello!

First, let's plot the points and draw a straight line through them (image).

Remember that a coordinate is given in the format of (x,y).

<h3 /><h3>Parts of a Line</h3>

Equation format: $y = mx + b$

m = slope
b = y-intercept

The slope is how the graph changes in y as it does in x. Given our two points, the graph rises 2 units and runs 3. That means that the slope is $\frac23$ .

$y = \frac23x + b$

The y-intercept is the intersection of the graph and the y-axis. The intersection takes place at y = -8, so the y-intercept is -8.

$y = \frac23x - 8$

The equation is $y = \frac23x - 8$ .

You might be interested in

25.75 dividido por 5

Inessa [10]

Creo que 5.15 ………………..

7 0

3 years ago

Not sure how to solve this :/

Sliva [168]

Answer:

SAME

Step-by-step explanation:

5 0

3 years ago

Drag the correct steps into order to evaluate 27 – t • 3 for t = 6.

Ahat [919]

Answer:

the answer is 9

5 0

3 years ago

Read 2 more answers

Suppose we have a right triangle with legs of length a and b and hypotenuse of length c. Suppose b=3 and c=5. Then a= , For the

ANTONII [103]

Answer:

Length of right-angle triangle 'a' = 4

$sin(A) = \frac{opposite side}{Hypotenuse} = \frac{a}{c} = \frac{4}{5}$

$cos(A) = \frac{Adjacent side}{Hypotenuse} = \frac{b}{c} = \frac{3}{5}$

$tan(A) = \frac{opposite side}{Adjacent side} = \frac{a}{b} = \frac{4}{3}$

Step-by-step explanation:

Step(i):-

Given b = 3 and hypotenuse c = 5

Given ΔABC is a right angle triangle

By using pythagoras theorem

c² = a² + b²

⇒ a² = c² - b²

⇒ a² = 5²-3²

=25 - 9

a² = 16

⇒ a = √16 = 4

The sides of right angle triangle a = 4 ,b = 3 and c = 5

Step(ii):-

$sin(A) = \frac{opposite side}{Hypotenuse} = \frac{a}{c} = \frac{4}{5}$

$cos(A) = \frac{Adjacent side}{Hypotenuse} = \frac{b}{c} = \frac{3}{5}$

$tan(A) = \frac{opposite side}{Adjacent side} = \frac{a}{b} = \frac{4}{3}$

7 0

3 years ago

Three groups of schoolchildren receive three different types of reading instruction for a school year. At the end of the year, s

ollegr [7]

Answer:

types of reading instruction - independent variable

reading comprehension of students - dependent variable

Explanation:

When it comes to the "experimentation" of a study, there are factors or variables that are being considered. These are "independent variable" and "dependent variable."

Independent variable refers to the variable that is being controlled. This affects the dependent variable. The influence of the independent variable on the dependent variable is very important.

So, in the situation above, the independent variable is the "types of reading instruction for a school year" while the dependent variable is the "reading comprehension" of the students.

This means that the reading comprehension of the students will largely depend on the types of reading material.

Thus, this explains the answer.

6 0

3 years ago