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Rewrite 3x - 4y = 12
In slope intercept form

User Jadranka
by
7.9k points

2 Answers

4 votes

Final answer:

Rewriting 3x - 4y = 12 in slope-intercept form gives y = 3/4x - 3, where the slope is 3/4 and the y-intercept is -3.

Step-by-step explanation:

To rewrite the linear equation 3x - 4y = 12 in slope-intercept form, we need to solve for y so that it is expressed in the form y = mx + b, where m is the slope and b is the y-intercept. To do this, we will perform the following steps:

Move the term involving x to the right side of the equation:

-4y = -3x + 12

Divide each term by -4, the coefficient of y:

y = ¾x - 3

In this slope-intercept form, the slope (m) is ¾, which means there is a rise of 3 on the vertical axis for every increase of 4 on the horizontal axis. The y-intercept (b) is -3, indicating that the line crosses the y-axis at the point (0, -3).

User Adeneo
by
7.9k points
1 vote

Answer:

y=3/4x -3

Step-by-step explanation:

3x -4y = 12

-4 y= -3x + 12

User Hariom Balhara
by
7.7k points

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