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2 years ago

What is the equation of the line that passes through the point (-6,3) and has a slope of −4/3?

Mathematics

1 answer:

marin [14]2 years ago

6 0

Answer:

$y = - \frac{4}{3} x - 5$

Step-by-step explanation:

The standard form for the equation of a line is

$y = mx + c$

We were told that

$y = 3 \: \: \: x = - 6 \: \: \: m = - \frac{4}{3}$

*Note m is the slope*

Therefore

$y = mx + c \\ 3 = - \frac{4}{3} (- 6) + c \\ 3= 8 + c \\ 3 - 8= c \\ - 5 = c$

So the answer is

$y = - \frac{4}{3} x - 5$

You might be interested in

How do you solve -x/6 > 3?

Lerok [7]

Answer:

Using Math.

Step-by-step explanation:

You solve it using math.

See, you should have been more specific with your question, maybe said "What is the answer" not "How do I solve".

But I guess I'll help you out bro

Multiply both sides by 6

that gives you -x>18

then multiply both sides by -1

which means you gotta flip the sign

so final answer is x<-18

4 0

3 years ago

Find the unknown length in the right triangle 27cm and 13 cm

Phoenix [80]

use pythagoras:

${c}^{2} = \: {b}^{2} - {a}^{2}$

c^2 = (27)^2 - (13)^2

c^2 = 560

c = 23.6643....cm

3 0

3 years ago

Find the value of x to the nearest tenth.

BlackZzzverrR [31]

Answer:

x = 8.0

Step-by-step explanation:

sin theta = opposite/ hypotenuse

sin 53 = x/10

Multiply by 10 on each side

10 sin 53= x

7.9863551 =x

Rounding to the nearest tenth

8.0 =x

4 0

3 years ago

Read 2 more answers

jason runs 440 yards in 75 seconds. At this rate, how many minutes does it take him to run a mile? (1 mile = 1,760 yards).

mamaluj [8]

Answer:

5 minutes

Step-by-step explanation:

we know that

Jason runs 440 yards in 75 seconds

using proportion

Find out how many minutes does it take him to run a 1.760 yards (one mile)

$\frac{440}{75}=\frac{1,760}{x}\\\\x=1,760(75)/440\\\\x= 300\ sec$

Convert seconds to minutes

Divide by 60

$300\ sec=300/60=5\ min$

8 0

3 years ago

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit

coldgirl [10]

Changing the equation into slope form: $y = mx + c$ , where $m$ is the slope [gradient] and $c$ is the y-intercept.

$2x+3y=1470$
$3y = -2x+1470$
$y= - \frac{2}{3}x+ \frac{1470}{3}$
$y=- \frac{2}{3}x+490$

The gradient is $- \frac{2}{3}$ and y-intercept is at $y=490$

Graphing $y=- \frac{2}{3}x+490$ using slope-intercept method:
a) The slope is a negative slope. The line will go 'down hill'
b) The line must pass the point (0, 490)
c) The line will intercept the x-axis at y = 0
   $0 = - \frac{2}{3}x+490$
   $\frac{2}{3}x = 490$
   $2x = 1470$
   $x = \frac{1470}{2}$
   $x = 735$
So, x-intercept is at (735, 0)

The graph of this function is shown below. The intercepts are labelled at:
y = 490
x = 735

-----------------------------------------------------------------------------------------------------------

Next month's profit equation

$2x+3y=1593$

Rewriting this into slope-equation form

$3y = -2x+1593$
$y=- \frac{2}{3}+ \frac{1593}{3}$
$y= - \frac{2}{3}+531$

The gradient, $m$ , equals to $- \frac{2}{3}$
The y-intercept, $c$ , equals to 531

The equation still has the same gradient with last month's profit equation but different y-intercept.

-------------------------------------------------------------------------------------------------------------

A linear graph show points of (0, 300) and (450, 0)

We work out the slope:
$\frac{300-0}{0-450} = \frac{300}{-450}=- \frac{20}{30} =- \frac{2}{3}$

Y-intercept at x = 0, so it's at y = 300

Equation $y = - \frac{2}{3}+300$

6 0

3 years ago