The graph of the linear equation y=mx+b has an x-intercept of 6. What is the x-intercept of the graph of the linear equation y=3mx+b?
when y = 0 , x = 6
0 = 6m + b
b = -6m
so for the second one
y = 3mx -6m
when y = 0
6 m = 3 m x
x = 2
To find the x-intercept of the graph of the linear equation y=3mx+b, we need to set y equal to zero and solve for x.
The equation is: y = 3mx + b
Setting y = 0, we get: 0 = 3mx + b
To find the x-intercept, we want to find the value of x when y is equal to zero.
Substituting 0 for y in the equation, we get: 0 = 3mx + b
Now, let's solve for x.
0 = 3mx + b
Subtracting b from both sides: -b = 3mx
Dividing both sides by 3m: -b / 3m = x
So, the x-intercept of the graph of the linear equation y=3mx+b is -b / 3m.
Note that this x-intercept is the same for any linear equation in the form y = kmx + b, where k is a constant.