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2 years ago

What is the slope-intercept equation of a line with a slope of 3/4 and a y-intercept of 4.

Mathematics

2 answers:

steposvetlana [31]2 years ago

8 0

Answer:

y = 3/4(x) + 4

Step-by-step explanation:

The slope-intercept equation of a line can be written as y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept.

We are given the slope (m) as 3/4 and the y-intercept (b) as 4. Thus, when we plug in values of m and b, we get the equation of y = 3/4(x) + 4.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

igor_vitrenko [27]2 years ago

5 0

Answer:

Equation: y - 3x/4 + 4

Step-by-step explanation:

using the formula:

y = mx + b ................where m is slope and y-intercept is b

So using the formula:

y - 3x/4 + 4

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3 years ago

Read 2 more answers

Match the solution set given in inequality notation with the solution set given in interval motion x > 7.8

Maslowich

Answer:

(7.8, ∞)

Step-by-step explanation:

Given the inequality :

x > 7.8 ; the inequality can be explicitly interpreted as x greater than 8 ; this means that the inequality holds for all values of x above 7.8

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3 years ago

Which of the following combined with the equation −9x + 3y = 12 creates a system of linear equations with no solution?

PolarNik [594]

ANSWER

The correct answer is option A

EXPLANATION

A line that will create a system of equation with no solution when combined with
$- 9x + 3y = 12$
,is the line that has the same slope as
$- 9x + 3y = 12$
but different y-intercept.

So, let us write the given equation in slope intercept form to obtain,

$3y = 9x + 12$

$\Rightarrow \: y = 3x + 4$

The slope is
$3$
and y-intercept is
$4.$

Now let us determine the slope and intercept for the given options too.

For option A,

$18x - 6y = 20$

$\Rightarrow \: - 6y = - 18x + 20$

$\Rightarrow \: y = 3x - \frac{10}{3}$

This has the same slope as the given equation but different y-intercept. When combined with the given equation, there will be no solution, since the two lines will never intersect. so it is the correct option.

For option B,

$3x - y = - 4$

$\Rightarrow \: -y = - 3x - 4$

$\Rightarrow \: y = 3x + 4$

This option has the same slope and y-intercept as the given line so when combined with this equation, there will be infinitely many solution.

As for option C and D they do not have the same slope as the given line so there will be a unique solution when each is combined with the given line.

8 0

3 years ago