Slope & Forms
Find the slope through (-1,2) and (3,10) and GRAPH!
2
For y=2x-3, what point do you plot first? What is this ordered pair? GRAPH!
The y-intercept, which is (0,-3)
Find the x-intercept of 2x+3y=8 and write it as an ordered pair.
(4,0)
Rewrite x+y=6 in slope-intercept form
y=-x+6
When is the intercept method usually a good choice?
When setting x=0 and y=0 gives easy values to graph; Look for whole numbers!
For y=-5x+4, name the form, slope and y-intercept, then GRAPH!
Slope intercept form
Slope: -5
y-intercept: 4
For y=-(1/2)x+2, after plotting the y-intercept, describe how you would graph the slope in words, then GRAPH!
Down 1 and right 2; Up 1 and left 2
Find the y-intercept of 5x+2y=10 and write it as an ordered pair.
(0,5)
Rewrite 4x+2y=8 in slope intercept form then GRAPH!
y=-2x+4
When is rewriting usually a good choice?
When y is easy to isolate, especially when its coefficient is 1 or -1
For y-6=(3/4)(x+2), identify the slope and the point, then GRAPH!
Slope: 3/4
Point: (-2,6)
For y+5=3(x-1), what point do you plot first? Write this as an ordered pair., then GRAPH!
(1,-5)
Find both intercepts of x+4y=12, write them as ordered pairs, then GRAPH!
(12,0) and (0,3)
Rewrite -6x+3y=9 in slope-intercept form then GRAPH!
y=2x+3
A student says y=-3 is a vertical line. Is this student correct? Why?
No! Line is horizontal! If it is a y-intercept, it is graphed opposite of its axis, which makes it horizontal.
What is the slope of y=7?
0
Write the equation of the line if the y-intercept is -2 and the slope is 0.
y=-2
Find both intercepts of 3x-2y=6, then GRAPH!
(2,0) and (0,-3)
Rewrite 5x-y=10 in slope intercept form
y=5x-10
Which method is more efficient for 8x+4y=16, intercepts or rewrite? Explain and find the intercepts.
Intercepts because the intercepts are whole numbers; (2,0) and (0,4)
What is the slope of x=-4?
Undefined
Write the equation of the line if the x-intercept is x=5 and the slope is undefined.
x=-5
Given the equation 4x-3y=12, find both intercepts AND rewrite the equation in slope-intercept form.
(3,0) and (0,-4); Slope-intercept form: y=(4/3)-4
Rewrite 2x+5y=7 in slope intercept form
y=-(2/5)x+7/5
Which method is more efficient for 7x+y=-4, intercepts or rewrite? Explain!
Rewrite because y is already easy to isolate