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 Sunday 17th of June

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 Depdendent Variable

 Number of equations to solve: 23456789
 Equ. #1:
 Equ. #2:

 Equ. #3:

 Equ. #4:

 Equ. #5:

 Equ. #6:

 Equ. #7:

 Equ. #8:

 Equ. #9:

 Solve for:

 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
 Ineq. #2:

 Ineq. #3:

 Ineq. #4:

 Ineq. #5:

 Ineq. #6:

 Ineq. #7:

 Ineq. #8:

 Ineq. #9:

 Solve for:

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Writing Linear Equations Using Slope and Point

Given two points (x1, y1) and (x2, y2) FIND the value for m, then USE the values for m, and either point as ( x1, y1 ) as the replacement values in the equation: y = m(x â€“ x1) + y1 then solve for y = m x + b.

1. Find the slope, y-intercept and write the equation of the line that passes through the points (3, 2) and (6, â€“ 2).

Given points: (3, 2), (6, - 2) Find dy and dx directly from the table or the points.

substitute these in the equation y = m(x â€“ x1) + y1 and simplify to y = m x + b.

or

Thus, b = 6

Write:

Equation:

Check:

Write the equation given two points:

2. Given (2, -1) and (- 3, 2) plot the points and draw the line through the points and write the equation for the line.

Using the point (2, â€“1). write the values: , x1 = 2, and y1 = â€“1 as replacements in the equation:

substitute these in the equation y = m(x â€“ x1) + y1 and simplify to y = m x + b.

or

Thus, b = 6

Write:

Equation:

Check: Use the other point ( â€“3, 2): Replace the x and y in the equation with x = â€“3 and y = 2. in the equation that you found above. If you get a true statement then your work is correct.

Show work here:

3. Given points: (3, 2), (5, â€“3) Find Dy and Dx directly from the table or the points.

Write:

Equation: