I am having trouble finding the x and y intercepts in this equation. Can someone please help me?
y=-5-5x
The y intercept is where the line intercepts the y axis. So, it occurs when x = 0. Plug the value of 0 into your equation. What do you get?
The x intercept occurs where the line intercepts the x axis. The value of y at that point is 0. If you substitute 0 for y in your equation, what does x then equal?
Of course! To find the x-intercept and y-intercept of an equation, we need to understand what they represent.
The x-intercept is the point at which the graph of the equation crosses or intersects the x-axis. At this point, the value of y is zero. To find the x-intercept, we can set y equal to zero and solve for x.
Let's start with the given equation: y = -5 - 5x.
To find the x-intercept, we set y = 0 and solve for x:
0 = -5 - 5x
To solve this equation, we can first add 5 to both sides:
5 = -5x
Next, divide both sides by -5 to isolate x:
x = -1
So the x-intercept is -1.
Now, let's move on to finding the y-intercept. The y-intercept is the point at which the graph of the equation crosses or intersects the y-axis. At this point, the value of x is zero. To find the y-intercept, we can set x equal to zero and solve for y.
Using the given equation, we set x = 0:
y = -5 - 5(0)
y = -5
So the y-intercept is -5.
The x-intercept is -1, and the y-intercept is -5.