Slope-Intercept Form
Write an equation in slope-intercept form of the line that passes through the origin and has a slope of 3.
y = 3x
Write an equation in point-slope form of the line that has a slope of 8 and passes through the point (4, -2)
y+2=8(x-4)
Write the following equation in standard form:
y = 3x - 6
-3x + y = -6
Write an equation of the line that passes through the point (-10, 7) and is parallel to the line y=(1/2)x+5
y= (1/2)x + 12
What is the value of f(x) = 2x - 6 when x=0?
f(0) = -6
Write an equation in slope-intercept form of the line that passes through the points (2, -2) and (0, 3).
y = -(5/2)x + 3
Write an equation in point-slope form of the line that has a slope of -2/3 and passes through the point (3, -5)
y+5 = (-2/3)*(x-3)
Write the following equation in standard form:
y - 2 = 2(x - 4)
-2x +y = -6
Write an equation of the line that passes through the point (1, -7) and is parallel to the line y=2x+3
y= 2x - 9
What is the value of h(x) = -2x + 9 when x=5?
h(5) = -1
Write an equation in slope-intercept form of the line that passes through the points (8, -3) and (10, -5).
y = -x +5
Write an equation in point-slope form of the line that passes through the points (-1, 12) and (4, -8)
y-12=-4(x+1)
y+8=-4(x-4)
Find the y-intercept:
0.5x - 2y = 3
y = -3/2
Write an equation of the line that passes through the origin and is parallel to the line y=-2x+4
y=-2x
What is the value of r(a) = -a - 7 when a=-2?
r(-2)= -5
You can rent a bike for a fee of $4 plus $1.50 per hour.
a. Write an equation in slope-intercept form to represent this.
b. How much would it cost to rent a bike for 2 hours?
b. $7
Write an equation in point-slope form of the line that passes through the points (-7, -2) and (-6, -10)
y+2=-8(x+7)
y+10=-8(x+6)
Find the x-intercept:
12x - 10y = -240
x= -20
Write an equation of the line that passes through the point (2, 0) and is perpendicular to the line y=-4x+5
y=(1/4)x - (1/2)
For m(x)= 4x + 15, find the value of x so that m(x) = 7
x = -2
Write an equation in slope-intercept form of the line that passes through the points (1/3, 1/2) and (2/3, 3/2).
y = 3x - (1/2)
Graph the equation: y-3=-(x+2)
m=-1
point: (-2,3)
Graph the equation:
4x - 3y = 24
x-int: x=6
y-int: y=-8
Write an equation of the line that passes through the point (3, 1/3) and is perpendicular to the line y=9x-10
y=(-1/9)x+(2/3)
For k(b)= 6b - 12, find the value of b so that k(b) = 18
b = 5