Slope-Intercept
What is the y-intercept of the line with the equation
y = 3/4x - 7
Y-intercept: - 7
What is the point (X1, Y1) in the following equation?
y - 4 = 5(x +6)
(-6, 4)
What is the Standard Form equation?
Ax + By = C
What direction do positive and negative slopes go on a graph?
positive: up towards the right
negative: up towards the left
What is the slope of the line parallel to
y=-3x+7
m=-3
What is the slope of the line and the y-intercept of the equation?
y = -2/3x + 4?
slope:
-2/3
Y-intercept: 4
What is the slope in the following equation?
y + 2 = 7/8(x - 4)
m = 7/8
What are the x- and y-intercepts from the following standard form equation?
3x + 4y = 24
X-Int: (8,0)
Y-Int: (0, 6)
What would the graph of x=6 look like?
It would be a vertical line at the x value of 6.
What is the slope of the line perpendicular to
y=-2/3x+9
m=3/2
Given the following, write an equation in slope-intercept form (y = mx+b):
m = -8, b = 5
y=-8x+5
What is the point-slope equation for the line that has a slope of 3 and goes through the point (-2, 5) ?
y - 5 = 3(x + 2)
What are the x and y intercepts?
8x + 2y = -16
x-intercept (-2,0)
y-intercept (0,-8)
What is the slope of the line that passes through the points (-4, -5) and (-3, -9)
-4
Convert the following equation to slope-intercept form.
y+2=-3(x+1)
y=-3x-5
Write the equation of a line in slope-intercept form through the points (2,3) and (0,-5).
y=4x-5
Graph the equation in point slope form.
y + 2 = -3(x-1)
Point (1,-2)
Slope -3
Convert the following standard form equation to slope-intercept form.
3x + 2y = -17
y = -3/2x - 17/2
What is the slope of the line that passes through the points (-21, 3) and (11, 3) ?
Zero
Write the equation of a line parallel to the equation below that goes through the point (-8,1)
y=3/4x+4
y=3/4x+7
Write the equation of a line in slope-intercept form through the points (-1,4) and (2,-5).
y=-3x+1
What is the point-slope equation for the line that goes through the points (4, 6) and (-1, 7)?
y - 6 = -1/5(x - 4)
or
y - 7 = -1/5(x + 1)
Convert the following equation to standard form. (HINT: Convert point-slope to slope-intercept then convert to standard)
y+3=-8(x+6)
8x+y=-51
Find the value of x so the slope of the line passing through A (-1,3) and B (x,4) is 2.
x=-1/2
Write the equation of the line perpendicular to the line below that goes through the point (3,-4)
3x-6y=-12
y=-2x+2