help help me please

Question

Consider the function f(x) = 3x − 2. Select True or False for each statement.

True or False The y-intercept is 2.

True or False The x-intercept is 2/3

true or false The slope is 3.

Answer 1

So if you take the equation y = mx + b and you take the current equation f(x) = 3x - 2 you can see y = f(x)

m = 3 and b = -2

A) to find the y intercept we set x equal to 0 and solve the equation

y = 3x - 2

x = 0

y = 3(0) - 2

y = -2

So FALSE for first one

B)to find the x intercept we set y equal to 0

y = 3x - 2

y = 0

0 = 3x - 2

Add 2 to both sides

2 = 3x

Divide 3 to both sides

2/3 = x

so the answer is TRUE

C)So take the equation y = mx + b and f(x) = 3x - 2

we see that m = 3 in this case so the answer is TRUE

Answer 2

Come on, Joseph.

y = mx + b, where m is the slope and b is the y-intercept.

Along the x-axis, y = 0, right?

0 = 3x - 2

Solve for x. Is it 2/3?