Write the equation in slope intercept form:
slope=4 and (2,5) is on the line
begin with point-slope form:
y-5=4(x-2)
y-5=4x-8
y=4x-3 <- slope intercept form
300
How do you know when you have perpendicular slopes?
When the product of the slopes equal -1
or
When slopes are negative reciprocals.
Example: 2 (-1/2) = -1
400
Tell whether the set of ordered pairs satisfies a linear function. Explain (2,4), (5,3) (8,2), (11,1)
Yes, constant change in 3 for x. Constant change of -1 in y
400
Find the x and y intercepts of 3x- 2y=12
for x-intercept 3x-2(0)=12 x=4
for y-intercept 3(0)-2y=12 y=-6
400
Find the slope of (20,3000) and (60,2000)
-25
400
Graph the equation: y= 4x-3
y-intercept is -3
rise 4, run 1
begin on (0,-3)
400
Write this equation in point slope form & in slope intercept form: slope=-4, (-1,-2)
Point slope form: y+2= -4(x+1)
Slope intercept: y=-4x -6
500
the points (2,3) and (8, 15) are on the same line.
write equation of this line in standard form
slope: (15-3) / (8-2)=12/6=2
begin with y-3=2(x-2) => y=2x-1
get both variables on the same side of the equation:
y-2x=-1 <- standard form
500
Find the x and y intercepts of 2x + 4y=8. Rewrite equation in the slope-intercept form.
x=4 and y=2
4y=8-2x => y=2-1/2x
y=-1/2x+2
500
Find the slope of the line represented by this equation:
6x + 5y=30
6/5
500
Find x- and y-intercepts. What is the meaning of y-intercept? On which axis is the x-intercept?
4x+2y=8
x-int: 4x+2(0)=8 x=2 x-int is on the x-axis
y-int: 4(0)+2y=8 y=4 y-intercept shows the "starting point" on the y-axis
(Real life connection: for the bank account, if y-intercept is 100 then there was a hundred dollars already in the bank when you start saving same sum every week.)
500
Write the equation in point slope form and in slope intercept form: (1,-4) and (3,2)