Question

Graph y = 3x - 3 and label the x- and y-intercepts. My answer: (0,3)

Tell the slope of a line that contains the points (5, -3) and (7,3) My answer: 6/2

It's the start of the school year, so i'm pretty rusty... Please help!

Answer 1

The slope-intercept form of the linear function is y = m x + b , where m is the slope and b is y-intercept.
Here we have: y = 3 x - 3
a ) When y = 0
0 = 3 x - 3
- 3 x  = - 3
x = ( - 3 ) : ( - 3 ) 
x = 1
When x = 0
y = 3 * 0 - 3 
y = - 3
So x - intercept is ( 1, 0 ) and y-intercept is ( 0, - 3 ).
b ) The slope:
m = ( y2 - y1) / ( x2 - x1 ) = 
= ( - 3 - 3 ) / ( 5- 7 ) = ( - 6 ) /( - 2 ) = 6 / 2 = 3
Answer: The slope m = 3 .