Identify the slope and the y -intercept of the equation 4x−3y=12 .
To identify the slope and the y-intercept of the equation 4x - 3y = 12, we need to rewrite the equation in slope-intercept form, which is in the form y = mx + b, where m represents the slope and b represents the y-intercept.
Let's rewrite the equation:
4x - 3y = 12
To isolate the y-term, we subtract 4x from both sides:
-3y = -4x + 12
Now, divide both sides by -3 to solve for y:
y = (4/3)x - 4
So, the slope of the equation is 4/3 and the y-intercept is -4.
To identify the slope and the y-intercept of the given equation, 4x - 3y = 12, we need to rearrange the equation in slope-intercept form, which is in the form of y = mx + b, where m represents the slope and b represents the y-intercept.
Let's rearrange the equation step-by-step:
Step 1: Start with the given equation: 4x - 3y = 12.
Step 2: Subtract 4x from both sides to isolate the term with y: -3y = -4x + 12.
Step 3: Divide every term by -3 to solve for y: y = (-4x + 12) / -3.
Step 4: Simplify the right side: y = (-4 / -3)x + (12 / -3).
Step 5: Further simplify: y = (4 / 3)x - 4.
From rearranging the equation, we can conclude that the slope (m) is 4/3 and the y-intercept (b) is -4.
To identify the slope and y-intercept of the equation 4x - 3y = 12, we need to rewrite the equation in slope-intercept form, which has the form y = mx + b. Here's how you can do it step by step:
1. Start with the given equation: 4x - 3y = 12.
2. Rearrange the equation to isolate y: Subtract 4x from both sides to get -3y = -4x + 12.
3. Divide all terms by -3 to solve for y: y = (4/3)x - 4.
Now we can identify the slope and y-intercept from this equation:
- The coefficient of x (4/3) represents the slope of the line. So the slope is 4/3.
- The constant term (-4) is the y-intercept, which is the point where the line crosses the y-axis. So the y-intercept is -4.
In summary, the slope is 4/3 and the y-intercept is -4.