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3 years ago

Write an equation for the graph of each line.

Mathematics

2 answers:

KATRIN_1 [288]3 years ago

7 0

Answer:

5. y = 2x + 4

6. y = -0.5x - 2

Step-by-step explanation:

5. Slope: (4-0)/(0--2) = 4/2 = 2

y-intercept: 4

y = 2x + 4

6. slope: (-2-0)/(0--4) = -2/4 = -0.5

y-intercept: -2

y = -0.5x - 2

emmasim [6.3K]3 years ago

3 0

Answer:

5. y = 2x + 4

6. y = (-1/2)x - 2

Step-by-step explanation:

5. We want to find the slope-intercept form of this, which is y = mx + b, where m is the slope and b is the y-intercept.

Slope is change in y divided by change in x. Here, let's take two random points: (-2, 0) and (0, 4). Then we have:

m = (4 - 0) / (0 - (-2)) = 4 / 2 = 2

The slope is thus 2.

The y-intercept is where the line crosses the y-axis. We see it does so at the point (0, 4), so b = 4.

Our equation is thus: y = 2x + 4.

6. Again, let's find the slope. Pick any two points: (-4, 0) and (0, -2). The slope will be:

m = (-2 - 0) / (0 - (-4)) = -2 / 4 = -1/2

Now, look at the point (0, -2); that's where the line crosses the y-axis, so the y-intercept is b = -2.

Thus, the equation is: y = (-1/2)x - 2.

Read more on complementary angles;

brainly.com/question/16281260

#SPJ1

8 0

2 years ago

Read 2 more answers

When asked to write a point slope equation for a line passing through the points (-4,-7) and (3,2) a student wrote y-2=-9/7(x-3)

AleksAgata [21]

First let's find the slope
Slope formula:
$\frac{y_2-y_1}{x_2-x_1} =slope$
Given the two coordinates:
(-4,-7) (3,2)
x1,y1 x2,y2

Plug these numbers into the formula
$\frac{2-(-7)}{3-(-4)} = \frac{9}{7}$
In this case the mistake that was made was that the student wrote the slope negative instead of positive
Final answer:
y-2=9/7(x-3)

8 0

3 years ago

For every 5 minutes of jogging, I ran 500 yards. What is the unit rate for this ratio?

maksim [4K]

Answer:

100/1

Step-by-step explanation:

Unit rate = over 1

____

500/5 = 100/1 (WE DIVIDED BY 5)

7 0

3 years ago

3. A cosmetic retailer surveyed 200 customers on which of their top two lipstick shades the

coldgirl [10]

Answer:

.440

Step-by-step explanation:

3 0

3 years ago

Although still a sophomore at college, John O'Hagan's son Billy-Sean has already created several commercial video games and is c

Scilla [17]

Answer:

27 feet for the south wall and 18 feet for the east/west walls

Maximum area= $486\ ft^2$

Step-by-step explanation:

Optimization

This is a simple case where an objective function must be minimized or maximized, given some restrictions coming in the form of equations.

The first derivative method will be used to find the values of the parameters that control the objective function and the maximum value of that function.

The office space for Billy-Sean will have the form of a rectangle of dimensions x and y, being x the number of feet for the south wall and y the number of feet for the west wall. The total cost of the space is

C=8x+12y

The budget to build the office space is $432, thus

$8x+12y=432$