In y=mx+b, which variable represents slope, and which variable represents the y-intercept?
m= Slope, b = y-int.
What is a "y-intercept"?
The point at which a line crosses the y-axis.
What is the slope between points (1,2) and (5,10)?
2
If a linear equation has a slope of 3 and a y-intercpet of 2, how would you write this in slope-intercept form?
y=3x+2
Rewrite: -3x+3y=12
y=x+4
What is the equation of a line that passes through (5,3) and (2,3)
Y=3
What is the y-intercept of 4x = y - 5?
5
Explain Two different ways to find slope
- Find rise/run on graph
- Using points: m = (Y2-Y1)/(X2-X1)
- Write equation into Y=mx+b form, m=slope
What is another name for the equation y=mx+b?
Slope-intercept form
Rewrite y+x+x+2y=15.
y=-2/3x+5
Find the x and y intercepts of x + 2y = 7
X-int. = (7,0)
Y-int. = (0,3.5)
What is the y-intercept of the line "x - 4y = 12" ?
Undefined
What is the equation of a line passing through (2,4), (3,7), and has a y-intercept of 2?
y=3x+2
Rewrite: -2(3(x+y))=24
y=-x-4
Find the x and y intercepts of
-8x + 6y = 24
X-int. = (-3,0)
Y-int. = (0,4)
What is the y-int. of "11x + 7y = -56" ?
-8
What is the slope between these points: (4,5) and (8,3)?
-1/2
What is the equation of a line that passes through (5,8) and (2,2)?
y = 2x - 2
Rewrite: 16x+5y=-40
y= -16/5x - 8
or
y= -3.2x - 8
Find the x and y intercepts of
7x + 5y = 42
Y-int. = (0,42/5) or (0,8.4)
What is the y-int. of the line "12x-5y=-44" ?
44/5
or
8.8
What is the slope of a line that passes through the point (2,3) and has a y-intercept of 1?
1
What is the equation of a line that passes through points (5,22) and (3,12)?
y = 5x-3
Rewrite
-x = 3y - 9
Y = -1/3x + 3