What is the slope
5x+4y=4
4x+5y=8
is it -5/4 and 4/5
Neither of your answers is right. They both have the same slope, -4/5. Rewrite each in y = mx + b form to see why
Sorry, I have to correct you drwls
the slope of 5x + 4y = 4 is -5/4
the slope of 4x + 5y = 8 is -4/5
Blame my dyslexia. I misread the second one as 4y + 5x = 8 . You are right
Thank you Cianan for catching and reporting my error. I'm sorry Bryan; I will try to be more careful in the future
To find the slope of a line, you need to rearrange the equation into slope-intercept form (y = mx + b), where "m" represents the slope. Let's solve the system of equations step by step to find the slopes of the given lines.
First, let's rearrange the first equation, 5x + 4y = 4, into the slope-intercept form:
5x + 4y = 4
4y = -5x + 4
y = (-5/4)x + 1
From this equation, we can see that the slope of the first line is -5/4.
Now, let's rearrange the second equation, 4x + 5y = 8, into the slope-intercept form:
4x + 5y = 8
5y = -4x + 8
y = (-4/5)x + 8/5
From this equation, we can see that the slope of the second line is -4/5.
So, the slope of the first line is -5/4, and the slope of the second line is -4/5.