1) Match the point slope equation (function notation) to the given graph by moving the "Numerator" and "Denominator" sliders to set your rate of change and set the \( (x_1,y_1) \) slider to match one of the points on the line. Write out the example given on your paper, then give the x value, y value, numerator and denominator. To get more practice, click on the "New Points" and try it again.
In problems 2-7, given the two points find the equation of the line in point slope form.
2) \( (7,2) \) and \( (5,-2) \)
3) \( (-1,-1) \) and \( (3,-2) \)
4) \( (7,2) \) and \( (-2,2) \)
5) \( (9,-5) \) and \( (3,-2) \)
6) \( (14,-8) \) and \( (8,-2) \)
7) \( (2,3) \) and \( (-3,3) \)
2) \( (7,2) \) and \( (5,-2) \)
3) \( (-1,-1) \) and \( (3,-2) \)
4) \( (7,2) \) and \( (-2,2) \)
5) \( (9,-5) \) and \( (3,-2) \)
6) \( (14,-8) \) and \( (8,-2) \)
7) \( (2,3) \) and \( (-3,3) \)
8) Given that the rate of change of a particular line is \( 1.25 \) and passes through the point \( (10,3) \), write its equation in point-slope form.
9) Match the slope-intercept equation (function notation) to the given graph by moving the "Numerator" and "Denominator" sliders to set your rate of change and set the "y-int" slider to match the y-intercept. Write out the example given on your paper, then give the \( A, B, \) and \( C \). To get more practice, click on the "New Points" and try it again.
9) Match the slope-intercept equation (function notation) to the given graph by moving the "Numerator" and "Denominator" sliders to set your rate of change and set the "y-int" slider to match the y-intercept. Write out the example given on your paper, then give the \( A, B, \) and \( C \). To get more practice, click on the "New Points" and try it again.
In problems 10-15, given the two points find the equation of the line in slope intercept form. Express your answer in function form.
10) \( (2,3) \) and \( (-4,0) \)
11) \( (-2,3) \) and \( (10,-3) \)
12) \( (7,2) \) and \( (-2,2) \)
13) \( (1,2) \) and \( (-2,-2) \)
14) \( (4,3) \) and \( (4,-1) \)
15) \( (-3,3) \) and \( (0,-9) \)
16) Given that the rate of change of a particular line is \( 4 \) and the y-intercept is \( 3 \), write its equation in function form.
17) Given that that rate of change of a particular line is \( -2 \) and passes through the point \( (-3,3) \), write its equation in function form.
18) Match the standard form equation to the given graph by moving the "A", "B" and "C" sliders to set your equation.
Write out the example given on your paper, then give the x value, y value, numerator and denominator. To get more practice, click on the "New Points" and try it again.
10) \( (2,3) \) and \( (-4,0) \)
11) \( (-2,3) \) and \( (10,-3) \)
12) \( (7,2) \) and \( (-2,2) \)
13) \( (1,2) \) and \( (-2,-2) \)
14) \( (4,3) \) and \( (4,-1) \)
15) \( (-3,3) \) and \( (0,-9) \)
16) Given that the rate of change of a particular line is \( 4 \) and the y-intercept is \( 3 \), write its equation in function form.
17) Given that that rate of change of a particular line is \( -2 \) and passes through the point \( (-3,3) \), write its equation in function form.
18) Match the standard form equation to the given graph by moving the "A", "B" and "C" sliders to set your equation.
Write out the example given on your paper, then give the x value, y value, numerator and denominator. To get more practice, click on the "New Points" and try it again.
In problems 19-24, given the two points find the equation of the line in standard form.
19) \( (2,-7) \) and \( (-2,3) \)
20) \( (6,5) \) and \( (4,1) \)
21) \( (0,8) \) and \( (6,-1) \)
22) \( (5,8) \) and \( (2,1) \)
23) \( (-5,-5) \) and \( (-7,-8) \)
24) \( (10,8) \) and \( (-8,-7) \)
19) \( (2,-7) \) and \( (-2,3) \)
20) \( (6,5) \) and \( (4,1) \)
21) \( (0,8) \) and \( (6,-1) \)
22) \( (5,8) \) and \( (2,1) \)
23) \( (-5,-5) \) and \( (-7,-8) \)
24) \( (10,8) \) and \( (-8,-7) \)
In problems 25-32, given the two points find the equation of the line in slope-intercept, point slope, and standard form.
25) \( (0,8) \) and slope: \(\dfrac{1}{2} \)
26) \( (0,-1) \) and slope: \(\text{-}3 \)
27) \( (0,-7) \) and slope: \(\text{-}\dfrac{3}{4} \)
28) \( (-1,2) \) and slope: \(3 \)
29) \( (-6,-4) \) and slope: \(\dfrac{2}{3} \)
30) \( (-1,1) \) and slope: \(\text{-}\dfrac{1}{2} \)
25) \( (0,8) \) and slope: \(\dfrac{1}{2} \)
26) \( (0,-1) \) and slope: \(\text{-}3 \)
27) \( (0,-7) \) and slope: \(\text{-}\dfrac{3}{4} \)
28) \( (-1,2) \) and slope: \(3 \)
29) \( (-6,-4) \) and slope: \(\dfrac{2}{3} \)
30) \( (-1,1) \) and slope: \(\text{-}\dfrac{1}{2} \)
Review
31) Solve the equation for \( x \): \( 4(2x−5)=−24 \).
32) Solve the equation for \(y \): \( y−y_1=m(x−x_1)\).
33) Graph the following line \( y=−x+4 \).
31) Solve the equation for \( x \): \( 4(2x−5)=−24 \).
32) Solve the equation for \(y \): \( y−y_1=m(x−x_1)\).
33) Graph the following line \( y=−x+4 \).