what is the slope of the line represented by the equation
4x+3y=12
1) 4/3
2) 3/4
3) -3/4
4)-4/3
I did 4x+3y=12
-4x -4x
3y=-4x+12
/3 /3 divide each side by3
y=-4/3x+4
so I got answer 4 because the -4/3 is the slope
Is this correct?
Thanks for checking my work
correct
You did a great job in simplifying the equation and isolating "y" to one side. However, there seems to be a slight mistake in the sign of the slope. Let me explain the process to find the correct answer.
Given the equation: 4x + 3y = 12
To find the slope, we need to rearrange the equation into slope-intercept form, which has the form: y = mx + b, where "m" represents the slope.
1. Start by isolating the "y" term.
Subtract 4x from both sides of the equation:
3y = -4x + 12
2. Divide the entire equation by 3 to solve for "y":
y = (-4/3)x + 4/3
Comparing the equation with the slope-intercept form, we can see that the slope is -4/3. Therefore, the correct answer is option 4) -4/3.
So, your solution is almost correct, but you made a minor sign error in your final answer. The slope is negative, which means that the line represented by the equation has a negative slope.