Without graphing, identify the slope and the y-intercept. 7x+4y=33
My answer is: Slope 4/7; y-intercept [0, 4/33].
Is this correct?
Thanks.
You must put the equation into slope-intercept form first: y = mx + b, where m is the slope and b is the y-intercept.
You will get: y = -7/4 x + 33/4
Now figure which numbers are the m and b.
To identify the slope and the y-intercept of the equation 7x + 4y = 33 without graphing, you can rearrange the equation into slope-intercept form, which is in the form y = mx + b.
Start by isolating y:
7x + 4y = 33
4y = -7x + 33
y = (-7/4)x + 33/4
Now you can see that the coefficient of x, which is -7/4, represents the slope (m) of the equation. Therefore, the slope is -7/4.
The y-intercept (b) can be found by looking at the constant term on the right side of the equation. In this case, the constant term is 33/4. So the y-intercept is the point (0, 33/4).
Therefore, your answer is incorrect. The correct answer is:
Slope: -7/4
Y-intercept: [0, 33/4] or (0, 8.25)
I hope this explanation helps! Let me know if you have any further questions.