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.

... b.) Graph the equation Find two points on the line. When y = 0, we have x = 600 When x = 0, we have y = 200 So the two points are (0, 200) and (600, 0). y. ...

... 6). Yx=0 and 2x+y=3. Solve each system of equations by graphing: 1). y=x-4 and y= -2x+2 Make a table of values for line y = x - 4 x y 0 -4 4 0. ...

Graphing and Equations of Lines. ... Write the equation of the line with given slope and y-intercept. Then graph each line using the slope and y-intercept. 16. ...

... 11. graph the equation by plotting points. Y - 5x = 0. 12. Find the slope, if it exists, of the line containing points. (-19, -16) and (-20, -18). 13. ...

... m = 2, y-intercept is (0, 2). Then equation of line will be. y = 2x + 2. 20 Write a paragraph explaining how to use the slope and y-intercept to draw a graph. ...

... c) Find the equation of the tangent line to the graph of f at the point (3,2/-3). Write your answer in the form y=mx+b. The equation of the tangent line to the ...

... The graph looks like the original graph (the linear equation one), but with shading below the line to indicate that all the points below the line are solutions ...

... For the line with the slope of -2 and passing through (1, -2) write the equation of the line in slope-intercept form. Using the template, plot the graph of the ...