Find the x-intercept and y-intercept for y=-5+1
To find the x-intercept and y-intercept of the equation y = -5x + 1, we need to understand what these intercepts represent.
The x-intercept is the point where the graph of the equation intersects the x-axis. In other words, it is the point where y is equal to zero. To find the x-intercept, we set y equal to zero and solve for x.
0 = -5x + 1
Now, we can isolate x by subtracting 1 from both sides:
-1 = -5x
Next, divide both sides of the equation by -5 to solve for x:
x = 1/5
So, the x-intercept is (1/5, 0).
On the other hand, the y-intercept is the point where the graph intersects the y-axis. In this case, it is the point where x is equal to zero.
To find the y-intercept, we set x equal to zero and solve for y:
y = -5(0) + 1
Simplifying the equation gives:
y = 1
So, the y-intercept is (0, 1).