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.

... 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. ...

... (b) Graph the cost equation. When x = 0, C = 40, When x = 4, C = 10*4 + 40 = 80 So the cost line passes through (0, 40), and (4, 80). C. 80 60 40 20. 12 3 4 5. ...

... 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 ...

... these points on graph, we will get the graph as shown ... services can be modeled by the linear equation C =2.85 ... a) Find and interpret the C-intercept for the line. ...

... 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 ...

... y = -12/7x + 7 19) Two points given are (0, 6) and (1, 9). The line hits the y ... This solution gives multiple examples of how to graph a linear equation and to ...