X & Y Intercepts
Find the y-intercept of this equation:
y = 3x + 6
y = 3(0) + 6
y = 0 + 6
y = 6
Find the slope between each pair of points:
(5, -9) and (3, -2)
m = (y2-y1)/(x2-x1)
m = (-2--9)/(3-5)
m = (-2+9)/(3-5)
m = 7/-2
m = -7/2
Write the equation of the line with m = 5 and b = 0.
y = 5x
Given the point (4,2) and m = 3, write the equation of the line.
y - y1 = m(x - x1)
y - 2 = 3(x - 4)
y - 2 = 3x - 12
y = 3x - 10
Determine whether the lines given below are parallel, perpendicular, or neither:
y = 3x - 7
y = 3x + 1
Parallel
Find the x-intercept of this equation:
y = x - 4
(0) = x - 4
4 = x
Find the slope between each pair of points:
(2, 3) and (4, -8)
m = (y2-y1)/(x2-x1)
m = (-8-3)/(4-2)
m = -11/2
Write the equation of the line with m = -3 and b = 4.
y = -3x + 4
Given the point (0,3) and m = -2, write the equation of the line.
y - y1 = m(x - x1)
y - 3 = -2(x - 0)
y - 3 = -2x
y = -2x + 3
Determine whether the lines given below are parallel, perpendicular, or neither:
y = -2/5x + 3
y = 2/5x + 8
Neither
Find the y-intercept of this equation:
2y = 5x + 4
2y = 5(0) + 4
2y = 0 + 4
2y = 4
y = 2
Find the slope between each pair of points:
(4, 6) and (4, 8)
m = (y2-y1)/(x2-x1)
m = (8-6)/(4-4)
m = 2/0
m = undefined
Convert the equation to slope-intercept form:
-4x - 2y = 36
-4x - 2y = 36
-2y = 4x + 36
y = -2x - 18
Given the point (1, -7) and m = -1, write the equation of the line.
y - y1 = m(x - x1)
y - -7 = -1(x - 1)
y + 7 = -1x + 1
y = -1x - 6
Determine whether the lines given below are parallel, perpendicular, or neither:
y = -1/4x
y = 4x - 5
Perpendicular
Find the x-intercept of this equation:
3y = 4x + 12
3(0) = 4x + 12
0 = 4x + 12
-12 = 4x
-3 = x
Find the slope between each pair of points:
(-1, -4) and (5, -2)
m = (y2-y1)/(x2-x1)
m = (-2--4)/(5--1)
m = (-2+4)/(5+1)
m = -2/6
m = -1/3
Write the equation of the line with m = -1/2 and b = -6.
y = -1/2x - 6
Given the point (-5, -3) and m = -3/5, write the equation of the line.
y - y1 = m(x - x1)
y - -3 = -3/5(x - -5)
y + 3 = -3/5(x + 5)
y + 3 = -3/5x - 3
y = -3/5x - 6
Determine whether the lines given below are parallel, perpendicular, or neither:
y = -x + 7
y = x - 9
Perpendicular
Find the y-intercept of this equation:
5y = 2x + 15
5y = 2(0) + 15
5y = 0 + 15
5y = 15
y = 3
Find the slope between each pair of points:
(8, 1) and (-5, 1)
m = (y2-y1)/(x2-x1)
m = (1-1)/(-5-8)
m = 0/-13
m = 0
Convert the equation to slope-intercept form:
3x + 3y = -12
3x + 3y = -12
3y = -3x - 12
y = -1x - 4
Given the point (-8, 6) and m = 1/4, write the equation of the line.
y - y1 = m(x - x1)
y - 6 = 1/4(x - -8)
y - 6 = 1/4(x + 8)
y - 6 = 1/4x + 2
y = 1/4x + 8
Determine whether the lines given below are parallel, perpendicular, or neither:
x = 4
x = -6
Parallel