Y -Intercept
Equation: y = 5 + 4x
5
Solve for x: 2(3x + 9) = 5x +21
3 = x
The line passes through (0, 2) and has a slope of 5
y= 2 + 5x
x=x
infinite
(2,50) (3, 75)
m = 25
Equation y = -3 + 8x
-3
5x + 0.45x = 49.05
x = 9
The line passes through the point (0, -4) and has a slope of -2
y = -4 - 2x
x = 1
one solution
(60,4) (30,2)
m = 15
Equation y = 3x + 4
4
2x + 21 = 7x + 6
x = 3
The line passes through the points (-3, 1) and (3, 5)
y = 3 + 2/3 x?
-3 = 2
No solution
(2, -6) (6, -17)
m = -2.75
Equation y = 2x -7
-7
8x + 2 = 2x + 4(x +3)
x = 5
The line passes through the point (0, -3) and has a slope of -1/3
y = -3 - 1/3 x?
x + 5.5 + 8 = 5x - 13.5 - 4x
No solutions
Can slope be a fraction?
Yes.
Equation y = 3x
0
4(x + 4) + 2x = 52
x = 6
The line has a slope of 0 and has a y-intercept of 6
y = 6
49(0.5x + 3) = 3x + 12 - x
Infinite Solutions
What is the slope in the equation y = 0.33678x + 6.25789
m = 0.33678