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

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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.


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