Using a Table to Graph
Create a table (using x=0, x=1 & x=2) (y=-2, y=2, 6)
The equation is y = 4x - 2
3x + 5y = 15 (Find the x-intercept and the y-intercept. Remember, set y to 0 to solve for x and set x to 0 to solve for y)
x=5, y=3 (negative slope)
y = 3x + 5 (Write the slope and y-intercept. Remember slope-intercept form is y = mx + b where m = slope and b = y-intercept.)
slope=3 y-int=5
y = 2x + 2 (use any graphing method)
positive slope though 2
What is the name for spot at which a line passes through the y-axis?
y-intercept
(x=-1, x=0, x=1) (y=8, y=5, y=2)
y = -3x + 5
6x - 9y = 36
x=6, y=-4 (positive slope)
y = 1/3x - 9
m=1/3 b=-9
y = 1/4x - 5
positive slope though -5
What is the name of the ratio between the vertical change and the horizontal change of a line?
slope
(x=-3, x=0, x=3) (y=9, y=10, y=11)
y = x/3 + 10
y = 4x - 10
x=2.5, y=-10 (positive slope)
y = -x + 2
m=-1 b=2
y = 6
horizontal line through 6
What is the name for the spot where a line passes through the x-axis?
x-intercept
(x=1, x=2, x=3) (y=-6, y=-3, y=0)
y = 3x - 9
-7y - 14x = 28
x=-4, y=-2 (negative slope)
2y = 8x + 16
m=4 b=8
-1/2x + y = - 4
positive slope through -4
What is the name for the form of an equation which uses the coefficient "b" and the constant "m"?
slope intercept form
(x=-8, x=0, x=8) (y=-5, y=-6, y=-7)
y = -1/8x - 6
8x - 12y = -24
x=-3 y=2 (positive slope)
10y = 4x - 20
m=2/5 b=-2
-x = 4
vertical line through -4
Create an equation in standard form that has a slope of -1 and a y-intercept of 2
y = -x + 2
x + y = 2