All categories

2 years ago

What is the slope-intercept equation for the following line?

Mathematics

1 answer:

Morgarella [4.7K]2 years ago

5 0

Answer:

$y=-\frac{1}{2}-3$

Step-by-step explanation:

Taking any two points, say (0,-3) and (2,-4), we can find the slope using the formula $\frac{y_1-y_2}{x_1-x_2}$ , which gives

$\frac{(-3)-(-4)}{0-2}=-\frac{1}{2}$ .

From the graph, we can see the y-intercept is $-3$ , so the equation of the line is $y=-\frac{1}{2}-3$ .

You might be interested in

The width of a rectangle is 9 less than the length. If the perimeter is 130 cm, find the length and the width of the rectangle.

pochemuha

Answer

B. Length = 37, width = 28

Explanation

Let the length of the rectangle be x,

width is 9 less. So, width = x - 9

Perimeter of a rectangle = 2(length + width)

2(length + width) = 130

2(x + x - 9) = 130

2(2x - 9) = 130

4x - 18 = 130

4x = 130 + 18

4x = 148

x = 148/4

= 37

Length = 37

Width = 37 - 9 = 28

5 0

3 years ago

The 3 in 43.54 is how much larger than the 3 in 56.37?

Scorpion4ik [409]

Answer:

10 times larger

Step-by-step explanation:

I used my brain plus I learned it in 5th grade

4 0

3 years ago

Lines m and n are parallel. The measure of angle 6 is 55 114 57.6 3 What is the measure of angle 1? 1552

Alex Ar [27]

Answer:

125 degree

Step-by-step explanation:

As m // n, so angle 2 and angle 6 is the same so angle 2 = 55 degree, then angle 1 + angle 2 = 180 degree, so angle 1 = 180 - 55 = 125 degree.

If it is helpful, please give me Brainliest.

5 0

4 years ago

F(x) = 3 + 4x G(x) = 6x + 7 I) find fg(x)

yuradex [85]

Answer:

See the attached document

Download docx

7 0

3 years ago

Alan drew a scale drawing of a house and its lot. The scale he used was 1 millimeter: 5 meters. In the drawing, the lawn in the

Marat540 [252]

50 meters

Explanation

you can easily solve this by using a rule of three.

Step 1

Let

$\begin{gathered} 1\text{ milemeter}\rightarrow5\text{ meters} \\ \text{the proportion is} \\ \frac{1\text{ mm}}{5\text{ mt}} \end{gathered}$

x represents the length of the actual lawn

then

$\begin{gathered} 10\text{ mm}\rightarrow x\text{ mt} \\ \text{the proportion is} \\ \frac{10\text{ mm}}{\text{xmt}} \end{gathered}$

the proportion is the same, so

Step 2

$\begin{gathered} \frac{1}{5}=\frac{10}{x} \\ \text{solve for x} \\ 1\cdot x=5\cdot10 \\ x=50 \end{gathered}$

so, the length is 50 meters

6 0

2 years ago