Algebra 1 SOL A.6 Slope-Intercept Practice
Mrs. Grieser
Name: ________________________________________ Date: __________________ Block: _______

Slope-Intercept form of a line: y = mx + b
Parallel Lines
m = slope, b = y-intercept
Have SAME slope but DIFFERENT
y-intercepts
Graphing:
To determine if two lines are parallel:
o Solve equation for y (put in function form)
o Identify m and b (y = mx + b)
o Plot y-intercept b
o Put m into fraction form

Put in function form: y = mx + b

Compare slopes (m) and yintercepts (b):
o If slopes are equal and yintercepts not equal, the lines
are parallel
o From y-intercept, go up or down
numerator value;
go left or right denominator value
Exercises:
1) Find the slope and y-intercepts of the lines described by the equations below.
a) y = -3x - 5
b) -5y + 3x = 10
c) 2x + 5y = 20
d) -4x = 10 + 2y
2) Identify the slope and y-intercept for each line, then graph each linear equation using
the slope-intercept method.
a) y = -2x + 2
slope = _____
y-intercept =
________
b) y =
1
x+1
2
slope = _____
y-intercept =
________
Algebra 1 SOL A.6 Slope-Intercept Practice
c) y = -
2
x
3
Mrs. Grieser
d) 2y = 3x - 16
slope = _____
slope = _____
y-intercept =
________
y-intercept =
________
e) 4x +3y = 6
f) y - x = -2
slope = _____
slope = _____
y-intercept =
________
y-intercept =
________
g) y = x
h) 2x - 3y = 15
slope = _____
slope = _____
y-intercept =
________
y-intercept =
________
3) Are any of the lines in the question above parallel? Explain your answer.
4) Determine whether the lines below are parallel or not using slope. Explain your answer.
a) y = 3x – 4; 3x + y = 10
b) 4x – 2y = 10;
c) 2x + 3y = 10;
d) 7y – 14x = 21; y = 2x + 3
2x + 3y = 16
y = 2x + 7