Point-Slope and Slope Intercept Form/Parallel & Perpendicular Lines
Perpendicular Lines
What are two lines that intersect to form 90 degree angles (right angles) and have OPPOSITE RECIPROCAL slopes?
y = -3x
What is the equation of the graph in slope intercept form?
y = 3/2x
What is the equation of the graph in slope intercept form?
y = 5/3x -2
What is the equation of the graph in slope intercept form?
2
What is the slope of the equation: y =2x + 3
(0,3)
What is the y-intercept of the equation: y= 2x + 3
y + 3 = -3(x - 2)
What's the equation of the line in point-slope form: passes through (2, -3 ) & parallel to y = -3x + 4 ?
y + 2 = 1/3 (x -3)
What's the equation of the line in point-slope form: passes through (3, -2 ) & perpendicular to y = -3x + 4 ?
y = -3x - 9
What's the equation of the line in slope-intercept form for the line that passes through (-2, 3 ) & parallel to y = -3x + 4 ?
y = 2x + 7
What's the equation of the line in slope-intercept form for the line that passes through (-2, 3) & perpendicular to y = -1/2x - 4?
y = -1/2x
What's the equation of the line in slope-intercept form for the line that passes through (-4, 2) & parallel to y = -1/2x + 6
y = -2x - 8
What's the equation of the line in slope-intercept form for the line that passes through (-5, 2) & perpendicular to y = 1/2x - 3?
Equal
Describe the slopes of parallel lines.
Opposite Reciprocals
Describe the slopes of perpendicular lines.
y=1/2x
Find the equation in slope-intercept form.
-5/4
Find the slope.
Rate of Change (Rise over Run)
Slope is the same as...
y + 3 = 3/2(x + 2)
The line passes through the point (-2,-3). What is the equation of the graph in point-slope form?
y + 2 = 5/3(x - 0)
The line passes through the point (0,-2). What is the equation of the graph in point slope form?
y - 2 = -3(x - 1)
The line passes through the point (1,2). Write the equation of the graph in point slope form.
slope and a point that the line passes through
We can write linear equations in Point-Slope Form [ y - y1 = m(x - x1) ] to tell us the...
slope and y-intercept
We can write linear equations in Slope-Intercept Form (y = mx + b) to tell us the...
x & y intercepts
We can write linear equations in Standard Form (Ax + By = C) to tell us the...
Parallel Lines
What are two lines that don't intersect and have the SAME slope?
y + 8 = 5/6(x + 2)
Write an equation in point-slope form for the line that passes through (-2,-8) with the slope of 5/6
y - 3 = -1/2(x - 4)
Write an equation in point-slope form for the line that passes through (4,3) with the slope of -1/2
y = 4/3x - 6
Write the equation of the graph in slope intercept form.
