All categories

3 years ago

Find the slope-intercept form of the equation of the line that passes through (-5,3) and is parallel to 12x-3y=10

Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

3 0

Answer:

y=4x+23

Step-by-step explanation:

<u>Convert given equation into slope-intercept form:</u>

12x-3y=10

4x-y=10/3

-y=10/3-4x

y=-10/3+4x

y=4x-10/3

Because the new equation must be parallel to the old equation, the slope stays the same, but the y-intercept changes based on the point that the new equation should pass through:

y=4x+b

3=4(-5)+b

3=-20+b

23=b

This means the slope-intercept form of the equation of the line that passes through (-5,3) and is parallel to 12x-3y=10 is y=4x+23

You might be interested in

Since f is parallel to line g, use the diagram to the right right to answer the following question (I need help with problem D a

Snezhnost [94]

Given,

The line f and g are parallel lines.

a)The measure of angle 2 is 117 degree.

By exterior atlernate angle property,

$\begin{gathered} \angle2=\angle7 \\ \angle7=117^{\circ} \end{gathered}$

The measure of angle 7 is 117 degree.

b)The measure of angle 4 is 68 degree.

By sum of adjacent angle between two parallel lines property,

$\begin{gathered} \angle4+\angle6=180^{\circ} \\ \angle6=180^{\circ}-68^{\circ} \\ \angle6=112^{\circ} \end{gathered}$

The measure of angle 6 is 112 degree.

c)The measure of angle 5 is 32 degree.

By alternate interior angle property,

$\begin{gathered} \angle4=\angle5^{} \\ \angle4=32^{\circ} \end{gathered}$

The measure of angle 4 is 32 degree.

d)The measure of angle 7 is 121 degree.

By corresponding angle property,

$\begin{gathered} \angle7=\angle3^{} \\ \angle3=121^{\circ} \end{gathered}$

The measure of angle 3 is 121 degree.

3 0

1 year ago

Simplify completely quantity 2 x squared plus 16 x plus 30 all over quantity 5 x squared plus 13 x minus 6.

Ludmilka [50]

(2x^2 + 16x + 30) / (5x^2 + 13x -6)
Start by factoring the numerator and denominator.
Cancel any like factors.

2(x^2 + 8x + 15)
2(x + 5)(x + 3) / (5x -2)(x + 3
2(x + 5) / (5x - 2)
The third choice

8 0

3 years ago

Read 2 more answers

Find the unit rate.

marissa [1.9K]

27.17 revolution per seconds

3 0

3 years ago

Read 2 more answers

Given that (8,7) is on the graph of f(x), find the corresponding point for the function f(x)+4

ozzi

Answer:

( 8,11)

Step-by-step explanation:

When x = 8 the output is 7

The new function

f(x) +4

when x = 8

The output is f(8) +4= 7+4 = 11

( 8,11)

7 0

3 years ago

Read 2 more answers

A standard sheet of paper in Europe is 21.0 cm wide and 29.7 cm long. Which has the greater area, the standard sheet of paper in

Tomtit [17]

Answer:

1 in = 2.54 cm

Part (a)

Answer: 8.268 in

Part (b)

Answer: 11.693 in

Part (c)

In SI units standard-sized paper is 21.0 cm by 29.7 cm, which is equivalent to 8.268 in by 11.693 in.

Answer: 8.268 in by 11.693 in.

Part (d)

U.S sized standard paper is 8.0 in by 11.0 in. Therefore the SI (internationally) sized paper is longer.

Part (e)

If the U.S> adopts the SI standard for letter-sized paper, both the width and length of standard paper will have to be increased. Therefore letter-sized paper will occupy a larger area and will be heavier if the thickness and density do not change.

Step-by-step explanation:

5 0

3 years ago