Question

The slope and y-intercept of the line 6x - 4y + 3 - 0 are respective
(A) 3 and
mine?
(B) and
(D) and
and​

Answer 1

Answer:

The slope and y-intercept of the line 6x - 4y + 3 - 0 are respective

(A) 3 and

mine?

(B) and

(D) and

and

Answer 2

Slope and y-intercept

Slope, in mathematics, refers to the steepness of the line and is defined as the "rise over run" or $\frac{y_2-y_1}{x_2-x_1}$. On the other hand, the y-intercept is the point on the y-axis where the line intersects (or sometimes touches).

Answer

The slope is $\frac{3}{2}$ and the y-intercept is $\frac{3}{4}$.

Problem

We have to determine the slope and y-intercept of the line $6x-4y+3=0$.

Step-by-step Solution

We only need to rearrange the equation by isolating the $y$ to one side until the equation is in its slope-intercept form.

$\large \boxed{y=mx+b}$, where $m$ is the slope and $b$ is the y-intercept

Rearranging the equation,

$6x-4y+3=0$

$-4y=-6x-3$

$y=\dfrac{6}{4}x+\dfrac{3}{4}$        Note: Negative integer divided by a negative integer equals to a positive result.

$\bold{y=\dfrac{3}{2}x+\dfrac{3}{4}}$

From the bolded equation above, we get the $m$ and $b$.

Slope: $\dfrac{3}{2}$

Y-intercept: $\dfrac{3}{4}$

Learn More

For more information, you can view the link below.

https://brainly.ph/question/233485

https://brainly.com/question/25722412