Find the slope and the y intercept of the graph of the linear equation 6x+4y=24 PLEASE I NEED TO KNOW ASAP
Mathematics · College · Thu Feb 04 2021
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Given the linear equation:
6x + 4y = 24
Find the slope of the line and the y-intercept.
Solution:
In order to find the slope of the line, and the y-intercept, we simply need to equate the given equation to slope-intercept form, represented as,
y = mx + b
m = slope of the line
b = y-intercept
To do so, we simply need to solve for y.
The first step is to transpose 6x to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
6x + 4y = 24
4y = -6x + 24
Divide both sides by 4 in order to cancel out 4y, leaving behind y.
4y/4 = (-6x + 24)/4
y = -3/2x + 6
m = -3/2
y-intercept = 4
Final answer:
m = -3/2
y-intercept = 4