Form to Form
Write the equation in standard form.
y + 2 = 7/8(x - 3)
7x - 8y = 37
Write the point slope form of an equation for a line that passes through the point with the given slope.
(-6,-2), m=-2
y+2 = -2(x-6)
Write the slope-intercept form of an equation of the line that passes through the given point and is parallel to the graph of the equation.
(-2,-3) y=-4x-3
y=-4x-11
Write the slope-intercept form of an equation that passes through the given point an is perpendicular to the graph of the equation.
(5, 3) y= 3/2x - 2
y = -2/3x + 19/3
or y =-2/3x + 6 1/3
How can you determine whether two lines are parallel or perpendicular?
parallel lines have the same slope
perpendicular lines have the negative reciprocal (number is flipped and opposite sign)
Write the equation in slope-intercept form.
y + 5 = -6(x + 7)
y = -6x - 47
(-2, -6), m=1/3
y + 6 = 1/3(x + 2)
Write the slope-intercept form of an equation of the line that passes through the given point and is parallel to the graph of the equation.
(4,1) x+4y=-12
y = -1/4x + 2
Write the slope-intercept form of an equation that passes through the given point an is perpendicular to the graph of the equation.
(-1,-3) 2x+y=5
y = 1/2x - 5/2
or
y = 1/2x - 2 1/2
Find the slope for the two points.
(9, 12) (-3, 7)
m = 5/12
Write the equation in slope-intercept form.
y - 6 = -2(x - 7)
y = -2x + 20
Write an equation in slope-intercept form that passes through the point with the given slope.
(-7, 6) m = 0
y = 6
Write an equation in slope intercept form for a line parallel to the graph of the equation.
(0, 2) y = -5x + 8
y = -5x + 2
Write an equation in slope intercept form for a line perpendicular to the graph of the equation.
(2, 6) y = -1/4x + 3
y = 4x - 2
Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the given equation.
(-1, 2) y = 1/2x - 3
y = -2x
Write the equation in standard form.
y+7= 4(x+2)
4x - y = -1
Write an equation in point-slope form for the line that passes through the point with the given slope.
(5, 3) m = 7
y - 3 = 7(x - 5)
Write an equation of the line that is parallel to the graph of y = 7x - 3 and passes through the origin.
y = 7x
Write an equation in slope intercept form for a line perpendicular to the graph of the equation.
y = 2/3x - 6 (1,2)
y = -3/2x + 7/2
Write the slope-intercept form of an equation for the line that passes through (-3,-2) and is perpendicular to the graph of the equation y = 2/5x + 3
y = -5/2x - 19/2
Write the equation in standard form.
y+5 = 1/2(x-9)
x - 2y = 19
Write an equation of a line that passes through each pair of points.
(3, -2), (6, 4)
y = 2x - 8
Write an equation in slope intercept form for a line parallel to the graph of the equation.
(9, 12) y = 13x - 4
y = 13x - 105
Write an equation in slope intercept form for a line perpendicular to the graph of the equation.
y = 5x + 3 (1, 2)
y = -1/5x + 2 1/5
Write the point-slope form, slope intercept form, and standard form of an equation for a line that passes through (5,7) with a slope of -9
point slope --> y - 7 = -9(x - 5)
slope intercept --> y = -9x + 52
standard form --> 9x + y = 52