Slope Intercept Form
Write an equation in slope-intercept form with the given slope and y-intercept.
Slope=5
y-intercept=-3
y=5x-3
Write an equation for the line that passes through (-2,5) and (3,-15)
y=-4x-3
Write an equation in point-slope form for a line that passes through (-4,6) and has a slope of 8.
y-6=8(x+4)
Write the equation in standard form.
y + 1 = x + 2
x – y = –1
Write an equation for a new line that is parallel to
y = 3x + 4 and has the point (3,2)
y = 3x – 7
Write an equation in slope-intercept form with the given slope and y-intercept.
Slope=-6
y-intercept=-2
y=-6x-2
Write an equations for the line that passes through (-6,5) and (2,-3).
y=-x-1
Write an equation in point-slope form for a line that passes through (3,3) and has a slope of 4/3.
y – 3 = 4/3(x – 3)
Write the equation in standard form.
y + 9 = –3(x – 2)
3x + y = –3
Write an equation that is parallel to the line
y = –4x – 1 and goes through the point (1,-3).
y = –4x + 1
Write an equation in slope-intercept form with the given slope and y-intercept.
Slope=0
y-intercept=8
y=8
Write a linear equation for this word problem.
Mr. Kimball receives a $3000 annual salary increase on the anniversary of his hiring if he receives a satisfactory performance review. His starting salary was $41,250. Write an equation to show k, Mr. Kimball’s salary after t years at this company if his performance reviews are always satisfactory.
k=3000t+41,250
Write an equation in point-slope form for a line that passes through (1,-3) and has a slope of -4.
y + 3 = –4(x – 1)
Write the equation in standard form.
y – 7 = 4(x + 4)
4x – y = –23
Write an equation in slope-intercept form for a new line that is perpendicular to y = –4x – 1 and passes through (-4,5).
y = 1/4x + 6
Write an equation for the word problem.
A video store charges $10 for a rental card plus $2 per rental.
c=2m+10
Write an equation for the word problem.
The population of Laredo, Texas, was about 215,500 in 2007. It was about 123,000 in 1990. If we assume that the population growth is constant and t represents the number of years after 1990, write a linear equation with an integer slope to estimate p, Laredo’s population for any year since 1990.
p=5441t+123,000
Write an equation in point-slope for them word problem.
Harvey rides his bike at an average speed of 12 miles per hour. In other words, he rides 12 miles in 1 hour, 24 miles in 2 hours, and so on. Let h be the number of hours he rides and d be distance traveled. Write an equation for the relationship between distance and time in point-slope form.
d – 12 = 12(h – 1)
Write the equation in standard form.
y – 2 =-1/2 (x – 4)
x + 2y = 8
Write an equation in slope-intercept form for a new line that is perpendicular to y=1/2 x – 1 and passes through (0,0).
y = –2x
Write an equation for the word problem.
Wade’s grandmother gave him $100 for his birthday. Wade wants to save his money to buy a new MP3 player that costs $275. Each month, he adds $25 to his MP3 savings. Write an equation in slope-intercept form for x, the number of months that it will take Wade to save $275.
275=25x+100
Write an equation for the word problem.
Mr. Williams pays $40 a month for city water, no matter how many gallons of water he uses in a given month. Let x represent the number of gallons of water used per month. Let y represent the monthly cost of the city water in dollars. What is the equation of the line that represents this information? What is the slope of the line?
y=40
Slope=0
Write an equation in point-slope form for the word problem.
Geoff paddles his canoe at an average speed of 3.5 miles per hour. After 5 hours of canoeing, Geoff has traveled 18 miles. Write an equation in point-slope form to find the total distance y for any number of hours x.
y – 18 = 3.5(x – 5)
Write the equation in standard form.
y + 11 =1/3 (x + 3)
x – 3y = 30
Determine if any of the lines are perpendicular or parallel or none.
y = 4x
x + 4 y = 12
4x + y = 1
First and second are perpendicular.