Point-Slope and Slope Intercept Form/Parallel & Perpendicular Lines
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?
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?
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.