Identify the slope and y-intercept, if they exist.
6y-7x=0
Select "Undefined" if applicable.
Slope:
Write the intercept as an ordered pair. Select "None" if applicable. If there is more than one intercept, separate them with commas.
y-intercept:
To identify the slope and y-intercept of the equation 6y - 7x = 0, we need to rewrite the equation in slope-intercept form, which is y = mx + b.
Starting with the given equation:
6y - 7x = 0
We can isolate y by adding 7x to both sides:
6y = 7x
Dividing both sides by 6, we get:
y = (7/6)x
From this equation, we can identify the slope and y-intercept.
Slope:
The slope (m) of the equation is the coefficient of x, which is 7/6.
y-intercept:
The y-intercept (b) of the equation is the constant term, which in this case, is 0.
Therefore, the slope of the equation is 7/6 and the y-intercept is (0, none).
To identify the slope and y-intercept of the equation 6y - 7x = 0, we first need to rearrange the equation in slope-intercept form (y = mx + b) where m represents the slope and b represents the y-intercept.
Starting with the given equation:
6y - 7x = 0
We can isolate y by adding 7x to both sides of the equation:
6y = 7x
Next, divide both sides of the equation by 6 to solve for y:
y = (7/6)x
From this equation, we can identify the slope and y-intercept.
Slope:
The slope (m) is the coefficient of x. In this case, the slope is 7/6.
y-intercept:
The y-intercept (b) is the value of y when x equals 0. In this case, when x = 0, the equation becomes:
y = (7/6)(0)
y = 0
So the y-intercept is the point (0,0).
In summary:
Slope: 7/6
y-intercept: (0, 0)
To identify the slope and y-intercept of the equation 6y - 7x = 0, we can rearrange the equation to the slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept.
Step 1: Start with the equation 6y - 7x = 0.
Step 2: Add 7x to both sides of the equation to isolate the y term:
6y = 7x
Step 3: Divide both sides of the equation by 6 to solve for y:
y = (7/6)x
Now we can identify the slope and y-intercept:
Slope:
The coefficient of x in the equation y = (7/6)x represents the slope. Therefore, the slope is 7/6.
y-intercept:
To find the y-intercept, we look at the point where the line crosses the y-axis. In the equation y = (7/6)x, when x = 0, the term (7/6)x becomes 0, so the y-intercept is when y = 0.
Therefore, the y-intercept is (0, 0).
In summary, for the equation 6y - 7x = 0:
Slope = 7/6
y-intercept = (0, 0)