Finding Slope
What is the slope of a line that passes through points (-1,-2) and (3,4)?
3/2
Write the equation of the line that passes through the given points in slope intercept form (y=mx+b)
(0,1) and (2,2)
y=1/2x + 1
What is the model for the point slope form equation?
y-y1 = m(x - x1)
What is the model of a linear equation in standard form?
Ax + By = C
What is the equation of a line parallel to this line (y= 2x + 3) and has a y-intercept of -2?
y=2x - 2
What is the slope of a line that passes through the points (5,4) and (-1,6)?
2/-6 or 1/-3
Write an equation in slope intercept form (y=mx + b) that passes through the points:
(4,0) and (0,2)
y=-1/2x + 2
Write an equation of a line that has a slope of 1/2 and passes through the point (3,-2). Write the equation in point slope form.
y+ 2 = 1/2(x - 3)
Gregory can buy 4 pounds of wheat flour for $8 and 5 pounds of rye flour for $20. He has $12 to spend on a flour mixture. What linear equation in standard form can Gregory use to model the situation?
x = wheat flour 2x + 4y = 12
y= rye flour
What is the equation of a line perpendicular to the line y = -5x + 6 and has a y-intercept of 3?
y=1/5x + 3
What is the slope of the line that passes through points (2,3) and (2, 7)?
Undefined
Write an equation in slope intercept form (y=mx + b) of a line that passes through the points:
(-1,-5) and (4,-2)
y=3/5x - 4.4
Write an equation of a line in point slope form that passes through the points (-4,1) and (2,3)
y - 3 = 1/3(x - 2) or y - 1 = 1/3 (x + 4)
Identify the x and y-intercepts of the graph of the equation: 2x + 5y = 10
x intercept = (5,0)
y intercept = (0,2)
Are the graphs to these equations parallel, perpendicular or neither?
y=2x + 1 and 2x - y = 3
Parallel
What is the slope of the line that passes through the points (5, -6) and (2, -6)?
zero slope
Write an equation in slope intercept form (y=mx+b) that passes through the points:
(-2,-6) and (1,2)
y=8/3x - 2/3
Write an equation of the line in point slope form that passes through the points:
(4,2) and (1,6)
y-2 = -4/3(x - 2) or y-6 = -4/3(x - 1)
What are the x and y intercepts of the graph this equation: 3x - 4y = -24
x intercept = (-8,0)
y intercept = (0,6)
Are the graphs of these equations parallel, perpendicular or neither?
y=1/2
y=-3
Parallel
What is the slope of the line that passes through the points (2, 1.5) and (0, 4.5)?
3/-2
What is the equation of a line in slope intercept form (y=mx + b) that passes through the points:
(-1,-2) and (3,4)
y=3/2x - 1/2
Write the equation y - 6 = -5(x + 1) in point slope form.
y=-5x + 1
What are the x and y intercepts of the graph of the equation: 2x - y = 8
x intercept = (4,0)
y intercept = (0,-8)
Are the graphs of these equations parallel, perpendicular or neither?
-2x + 5y = -4
y = -5/2x + 6