Slope intercept form
What is the equation of the line with a slope of 1/2 and a y-intercept of -3?
y = 1/2x - 3
Write the equation in point slope form. m = 3/4 passing through point (2,11)
y - 11 = 3/4(x - 2)
Find the x and y intercepts of the equation.
5x - 3y = 30
x = 6 (6,0)
y = -10 (0,-10)
What is the equation of a line that passes through the point (2,1) and is parallel to y = -3x + 8?
y = -3x + 7
What is slope?
Rise over run or rise/run
Graph the equation:
y = 3x - 1
See graph
Write the equation in point slope form.
m= -3
(-2,5)
y -5 = -3(x+2)
The glee club has $90 to spend on pens and pencils. Each pen costs $0.75 and each pencil costs $0.15. Write an equation that describes the numbers of pens, x, and pencils, y, that the glee club can buy.
0.75x + 0.15y = 90
What is the equation of a line that passes through the point (-3,-1) and is parallel to y = 2x + 3?
y = 2x + 5
What is the slope formula?
m = y2 - y1 / x2 - x1
What is the equation of the line that passes through the points (2,0) and (4,6)?
y = 3x - 6
Write an equation in point slope form of the line that passes through the points (3,1) and (-5,-2).
y - 1 = 3/8(x - 3)
or
y + 2 = 3/8(x + 5)
Convert to slope intercept form.
2x + 3y = −6
y = -2/3x - 2
What is the equation of a line that passes through the point (3,7) and is perpendicular to y = -3x + 8?
y = 1/3x + 6
Find the slope
(4,1) and (-6, -4)
m = 1/2
Rachel hikes at a steady rate from a ranger station to a campground that is 20 mi away. After 2 h, she is 13 mi from the campground. After 4 h, she is 6 mi from the campground. What is the equation of the line that represents her distance from the campground?
y = -7/2x + 20
Isobel is pulling water up from an old-fashioned well. She lifts the bucket of water at a rate of 4 ft/s, and after 1 s, the bucket is 1 ft below the top of the well. What is the equation in point-slope form of the line, where y represents the height, in feet, of the bucket relative to the top of the well after x seconds?
y + 1 = 4(x - 1)
The equation 6x − 3y = 24 represents Shari’s distance from home, y, in blocks, on her run across town over time, x, in minutes. What is the x-intercept and what does the point mean?
(4,0) Shari ran past her home after 4 minutes.
What is the equation of a line that passes through the point (8,1) and is perpendicular to y = 4/5x + 8?
y = -5/4x + 11
Find the slope
(1.5,4) and (-2.5,6)
m = -1/2
At 2 hours before sunset, the temperature is 0°F. At 2 hours after sunset, the temperature is −4°F. Identify the equation representing the temperature y, in degrees Fahrenheit, at x hours after sunset.
y = -x -2
Graph the equation:
y − 1 = −2(x − 3)
See the Graph
Gil is shopping for books and CDs. He buys 4 books and no CDs for a total of $32. Write an equation that represents the relationship between the cost of a book, y, and the cost of a CD, x, in standard form.
0x + 4y = 32
Are the given equations parallel, perpendicular or neither?
2x + 3y = 9
y = -2/3x - 4
The equations are parallel because they both have a slope of -2/3.
Find the slope
x + 3y = 24
m = -1/3