All categories

3 years ago

What does the line of -4 x + 3y = 6 look like

Mathematics

2 answers:

Llana [10]3 years ago

8 0

Answer:

The line slopes upwards from left to right wit a positive gradient and cuts the y-axis at y=2 and the x-axis at x=-3/2

Step-by-step explanation:

We first rearrange the equation to the order y=mx+c where m is the gradient and c the y intercept.

3y=4x+6

y=(4/3)x+2

The gradient is therefore 4/3 and the y intercept is 2.

At the c intercept, y=0

0=(4/3)x +2

(4/3)x=-2

x=-2×3/4

=3/2

The line slopes upwards from left to right with a positive gradient and cuts the y-axis at y=2 and the x-axis at x=-3/2

dezoksy [38]3 years ago

4 0

The answer is y=4/3x+2. The explanation is shown in the picture.

You might be interested in

Use substitution to solve each system of equations. y = 5x -2 3 x- 5y =4

Nezavi [6.7K]

x = 3/11
y = -7/11

Step-by-step explanation:

y = 5x - 2…Equation 1

3x - 5y = 4…Equation 2

Subtitute value of y to Equation 2 :

3x - 5(5x - 2) = 4

3x - 25x + 10 = 4

-22x + 10 = 4

10 - 4 = 22x

6 = 22x

6/22 = x

3/11 = x

Subtitute value of x to one of Equation :

for example Equation 2…

3x - 5y = 4

3(3/11) - 5y = 4

9/11 - 5y = 4

9/11 - 4 = 5y

(9 - 44)/11 = 5y

(-35)/11 = 5y

(-35)/11 × 1/5 = y

-7/11 = y

7 0

3 years ago

Read 2 more answers

Amber earned $14.50 babysitting on Saturday. On Sunday, she spent $6.95 when she purchased a movie ticket. She needed to borrow

Usimov [2.4K]

Answer:

I think the answer is B. $12.55

Step-by-step explanation:

14.50 - 6.95 = 7.55

7.55 + 5 = 12.55

8 0

3 years ago

Read 2 more answers

Which equation shows that (x^4)^3=x^12

Nastasia [14]

Answer:

Step-by-step explanation:

based on exonent rule (#^x)^y=#^xy

8 0

4 years ago

Read 2 more answers

Find the value of x, rounded to the nearest tenth. Correct answers only please..

Ratling [72]

Cos28 = 11/x
x = 11/cos28
x = 11 / 0.88294759
x = 12.46

Answer
C. 12.5 (nearest tenth)

8 0

3 years ago

Read 2 more answers

Write the point slope form of the equation of the line using the point (-4,-2)

Gre4nikov [31]

Answer:

$y + 2 = \frac{5}{4} (x + 4)$

Step-by-step explanation:

1) First, find the slope of the line. Take two points the line intersects and use them for the slope formula, $\frac{y_2-y_1}{x_2-x_1}$ . We already know the line intersects (-4, -2). Just choose any one of the points you can see the line intersecting (in this case, I chose (0,3)) and plug in its values, too. Then solve:

$\frac{(3)-(-2)}{(0)-(-4)} \\\frac{3+2}{0+4} \\\frac{5}{4}$

So, the slope is $\frac{5}{4}$ .

2) Now that you have the slope, plug in values for the point-slope formula, $y - y_1 = m (x - x_1)$ . In order to write a linear equation with it, the $x_1$ , $y_1$ , and $m$ have to be substituted for with real values. The $m$ represents the slope - which means that we should place $\frac{5}{4}$ there. The $x_1$ and $y_1$ represent the x and y values of a point - and the questions wants us to use (-4, -2), so substitute -4 for $x_1$ and -2 for $y_1$ :

$y-(-2) = \frac{5}{4} (x - (-4))\\y + 2 = \frac{5}{4} (x + 4)\\$

Thus, the answer is $y + 2 = \frac{5}{4} (x + 4)$ .

8 0

3 years ago