Find an equation in slope-intercept form (where possible) for each line.
Through (-2,6), perpendicular to 2x-3y=5

Use slope to show that the square with vertices at (-2, 5) (4,5), (4 -1) and (-2,1) has diagonals that are perpendicular

Graph each equation.
2x-3y= 12

Exercise To achieve the maximum benefit for the heart when exercising, your heart rate (in beats per minute) should be in the target heart rate zone. The lower limit of this zone is found by taking 70% of the different between 220 and your age. The upper limit is found by using 85%.

Find formulas for the upper and lower limits ( u and l) as linear equation involving the age x.
What is the target heart rate zone for a 20-year-old?
What is the target heart rate zone for a 40-year-old?
Two women in an aerobics class stop to take thier pulse, and are surprised to find that they have the same pulse. One woman is 36 years older than the other an d is working at the upper limit of her target heart rate zone. The younger woman is working at the lower limit of her target heart rate zone. What are the ages of the two women, and what is their pulse?

Solution Summary

The solution explains how to find the line equation in slope-intercept form in detail. It also explains how to verify that two lines are perpendicular.

Sketch a graph showing the line for the equation Y=-2X+4. On the same graph, show the line for Y=X-4. Use the values 0, 1, 2,3, & 4 (or any values of your choice) into both equations. In excel, write the data as follows then draw the graph:
Y1 Y2
0 4 -4
1 2 -3
2 0 -2
3 -2 -1
4 -4 0

Please choose the correct answer and indicate final answer.
11. f(x) = (x + 4)^1/2. An equation for the tangent line to the graph of f(x) at the point where x = 77 would be
x - 6y + 13 = 0
x - 8y + 20 = 0
x - 10y + 29 = 0
x - 12y + 40 = 0
x - 14y + 53 = 0
x

Please help with the following algebra-related multiple choice problems.
Find an equation of the tangent line to the graph of the relation given by
x2 - xy + y2 = 7 at the point (2, 3) .
x + 4y - 14 = 0
4x + y - 11 = 0
11x + 4y - 34 = 0
7x + 3y - 23 = 0
17x + 8y -

1) 4m+12=6m-2 Solve for m
2) 4x-7y=28 Solve for y
3) A jazz concert brought in $179,500 on the sale of 8,700 tickets. If the tickets were sold for $15 and $25each, how many of each type of ticket were sold?
4) Graph the equation x+2y= 4
5) Find the slope of the graph of the equation 7x+3y= 21
6) Write the equatio

1) Find the equation of the line that is perpendicular to the line x-3y+16=0 and passes through the point (1,7).
2) Suppose the graph f(x) is given, describe how the graph of the function f(x-2)+3 can be obtained.

Question #6 / 24
Graph the line.
We use the table
x y
-3 4.00
-2 4.33
-1 4.67
0 5.00
1 5.33
2 5.67
3 6.00
4 6.33
5 6.67
6 7.00
The graph is given by
Question #7 / 24
Graph the line.
We use the table
x y
-3 -2.75
-2 -2.50
-1 -2.25
0 -2.00
1 -1.75
2 -1.50
3 -1.25
4 -1.00
5 -0.75
6 -0.50

1. Graphline with equation y=-4x-2.
2. 2x=8y=17=0
3. Graph the line with slope -2 passing through the point (-3,4).
4. Find slope of the linegraphed (-44, 28) (9, -12).
5. x=9 graph the line
6. 6x-9y+7=0.
7. 2x=5y+3
8. Write an equation of line (0, -4).
9. A line passes through the point (6, -6

please show your work.
1. Use the equation below and the indicated value to find an ordered pair that is a solution.
y = 2x - 1 let x = 6
2. Complete the table of values for the equation 6x + 2y = 72.
3. Decide whether the ordered pair (9,5) is a solution of the equation. x + y = 9
4. Find the value of the expressio