I'm confused on two questions that are kind of similiar:
State the slope and y-intercept of
y= -1/2x
I know the slope is -1/2 but I don't know the y-intercept
State the slope and y-intercept of
y= 3x-4
I know the slope is 3, but I don't know if the y-intercept is 4 or -4.
y-intercept is a point where the graph of a function intersects with the y-axis
y-intercept is value of y where x=0
y= -1/2x
Slope -1/2
y-intercept y= -1/2*0= -1/0= +/- infinity
y= 3x-4
Slope 3
y-intercept y=3*0-4=0-4= -4
If yor function:
y= -1/2x
mean y=(-1/2)*x
then:
Slope -1/2
y-intercept y=(-1/2)*0= 0
To find the y-intercept, you need to look at the equation in the form y = mx + b, where m represents the slope and b represents the y-intercept.
For the equation y = -1/2x, the slope is already given as -1/2. However, there is no visible term with x. In this case, we can assume that the coefficient of x is 1. So, the equation can be written as y = -1/2 * x + 0.
Comparing this with the standard form, we can see that the y-intercept (b) is 0. Therefore, the y-intercept for the equation y = -1/2x is 0.
For the equation y = 3x - 4, the slope is again given as 3. This time, there is a visible term with x, which has a coefficient of 3. So, we can write the equation as y = 3x + (-4).
Comparing this with the standard form, we can see that the y-intercept (b) is -4. Therefore, the y-intercept for the equation y = 3x - 4 is -4.
In summary:
- For y = -1/2x, the slope is -1/2 and the y-intercept is 0.
- For y = 3x - 4, the slope is 3 and the y-intercept is -4.