identify the slop and the y-intercept of the question 4x-3y=12
the slope is -4/3 and the y-intercept is (0,4)
the slope is 4/3, and the y-intercept is (0,4)
the slope is 4, and the y-intercept is (0,12)
the sloe is 4/3 and the y intercept is (0,-4)
The correct answer is: the slope is 4/3, and the y-intercept is (0, -4).
To identify the slope (m) and the y-intercept (b) of the equation 4x-3y=12, we need to rearrange the equation into slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept.
First, let's isolate the y variable:
4x - 3y = 12
Subtract 4x from both sides:
-3y = -4x + 12
Now, divide both sides of the equation by -3 to solve for y:
y = (4/3)x - 4
From this, we can determine that the slope (m) is 4/3, and the y-intercept (b) is (0,-4).
Therefore, the correct answer is:
The slope is 4/3, and the y-intercept is (0, -4).
To identify the slope and the y-intercept of the equation 4x - 3y = 12, we need to rearrange the equation into the slope-intercept form, which is y = mx + b.
Starting with the given equation:
4x - 3y = 12
To isolate the term with the variable y, we can subtract 4x from both sides of the equation:
-3y = -4x + 12
Next, we divide the entire equation by -3 to solve for y:
y = (4/3)x - 4
Now that the equation is in slope-intercept form, we can clearly identify the slope and the y-intercept.
The coefficient of x, which is the number next to x, represents the slope of the line. In this case, the slope is 4/3.
The term without x, which is -4 in this equation, represents the y-intercept. The y-intercept is the point where the line crosses the y-axis. In this case, the y-intercept is (0, -4).
Therefore, the correct answer is: The slope is 4/3, and the y-intercept is (0, -4).