Slope-intercept form
What is the formula for slope-intercept form?
y=mx+b
What is the formula for point-slope form?
y-y1=m(x-x1)
What is the formula for standard form?
True or false: parallel lines have the same slope.
True
How are the slopes of perpendicular lines related?
They are negative reciprocals.
What is the slope of the line y=2x-3
2
What is the slope of the line
y-8=4(x+10)
4
What does A represent in the standard form formula?
Nothing, it is just a coefficient.
Find the slope of a line that is parallel to the line y=-4x+8
-4
What is the negative reciprocal of -1?
1
Write the equation 6x-3y=12 in slope-intercept form.
y=2x-4
Which of the lines are written in point-slope form:
a. y=6x
b. y=2
c. 5x+2y=9
d. y-1=7(x-7)
d
Write the equation y=5x+10 in standard form.
-5x+y=10
Which of the following lines are parallel?
a. y=-6x+10
b. y=4x+1
c. y-2=4(x+6)
d. y=1/6x-9
b and c
Find the slope of a line perpendicular to the line y-1=8(x+6)
-1/8
Write an equation in slope-intercept form with a slope of 4 and a y-intercept of 6.
y=4x+6
Write an equation in point-slope form with a slope of 6 that passes through the point (-1, 3).
y-3=6(x+1)
Write the equation y-4=-(x+3) in standard form.
x+y=1
Find the equation of a line that goes through the point (1, 1) and is parallel to the line y=3x+6
y-1=3(x-1) or y=3x-2
Which of the following lines are perpendicular?
a. y-2=5(x-2)
b. y=5x-9
c. y=-5x+10
d. y=-1/5(x-8)
a and d
Write an equation in slope intercept form that passes through the points (-1, 4) and (1, 0).
y=-2x+2
Write an equation in point-slope form that passes through the points (-1, -6) and (3, 14).
y+6=5(x+1) or
y-14=5(x-3)
Write an equation in standard form that goes (-8, 2) and (-9, 5).
3x+y=-22
Find the equation of the line that passes through the point (0, 4) and is parallel to the line y=5x-6. Write the equation in standard form.
-5x+y=4
Write the equation of a line that goes through the point (0, 1) and is perpendicular to the line y=2x-2.
y=-1/2x+1 or y=-1/2(x-1)