3a + 4bc - d = 5a - 8j
<em><u>Add d to both sides.</u></em>
3a + 4bc = 5a - 8j + d
<em><u>Subtract 4bc from each side.</u></em>
3a = 5a - 8j + d - 4bc
<em><u>Subtract 5a from both sides.</u></em>
-2a = -8j + d - 4bc
Divide both sides by -2
a = 
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 .