All categories

3 years ago

A line passes through (8,-4) and has slope 2/3. What is an equation in point slope form of the line? An equation of the line is?

Mathematics

1 answer:

QveST [7]3 years ago

3 0

Answer:

The point slope form of the line would be y + 4 = 2/3(x - 8) and the equation of the line would be y = 2/3x - 28/3

Step-by-step explanation:

To find the point-slope form of the line, start with the base form of point-slope form. Then input the point we have and the slope in the appropriate places.

y - y1 = m(x - x1)

y - -4 = 2/3(x - 8)

y + 4 = 2/3(x - 8)

Now to find the slope intercept form, you simply need to solve for y.

y + 4 = 2/3(x - 8)

y + 4 = 2/3x - 16/3

y = 2/3x - 28/3

You might be interested in

X+y=3 and x-ý=<br>x1 simultaneous equation<br>

pshichka [43]

Answer:

y=1, x=2

Step-by-step explanation:

x+y=3

x-y=1

Using elimination method

x-x+y--y=3-1

2y= 2

y=1

Substitute y=1 into equation 2

x-1=1

x=1+1

x=2

7 0

3 years ago

Read 2 more answers

What is the equation of the line that passes through the points (-1, 1.5) and (0.5, 0.5)

Step2247 [10]

The slope-point formula:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have:

$(-1,\ 1.5)\to x_1=-1,\ y_1=1.5\\(0.5,\ 0.5)\to x_2=0.5,\ y_2=0.5$

Substitute:

$m=\dfrac{0.5-1.5}{0.5-(-1)}=\dfrac{-1}{1.5}=-\dfrac{1}{\frac{3}{2}}=-\dfrac{2}{3}\\\\y-1.5=-\dfrac{2}{3}(x-(-1))\\\\y-1.5=-\dfrac{2}{3}x-\dfrac{2}{3}\\\\y-\dfrac{3}{2}=-\dfrac{2}{3}x-\dfrac{2}{3}\ \ \ |+\dfrac{3}{2}\\\\y=-\dfrac{2}{3}x-\dfrac{2}{3}+\dfrac{3}{2}\\\\y=-\dfrac{2}{3}x-\dfrac{2\cdot2}{3\cdot2}+\dfrac{3\cdot3}{2\cdot3}\\\\y=-\dfrac{2}{3}x-\dfrac{4}{6}+\dfrac{9}{6}\\\\y=-\dfrac{2}{3}x+\dfrac{5}{6}$

6 0

3 years ago

At 8:00 a.m., the temperature was −6°F. By noon, the temperature had risen by 9°F. What was the temperature at noon?

olya-2409 [2.1K]

The answer is orange because I think that is the answer

8 0

3 years ago

Write 4–6 sentences explaining why it is important to have precise definitions in mathematics.

dimaraw [331]

Mathematics can be tricky so precise definitions are important. Without them there can be confusion which more often then not will generate a wrong answer. With clear precise definitions it is easier to understand the topic. Therefore, it is easier to get the correct answer.

4 0

3 years ago

Write using exponents. Work from left to right on the grid.<br><br> 6 • 6 • 6

makkiz [27]

The answer is 6^3

6*6*6= 216

6^3= 216

4 0

3 years ago