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Intercepts Slope SlopeIntercept Standard Writing Form Equations 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500 Find the x- and y-intercepts for 2y – 3x = 6 x = -2 and y = 3 In the form y = mx + b, what does the b stand for? The y-intercept Find the x- and y-intercepts for y = 5x - 10 x = 2 and y = -10 Find the x- and y-intercepts for ½ x + 4 = 2y x = -8 and y = 2 Find the x- and y-intercepts for 5x – 2y = 7 x= 7/ 5 and y = 7 - /2 What is the slope of the line y = 5x – 2 ? m=5 What is the slope of the line that passes through the points (2,3) and (4,7)? m=2 What is the slope of the line that passes through (-5, 3) and (1, -2)? m=- 5/ 6 Find the slope of the line 3x + 2y = 6? m=- 3/ 2 Find the slope of the line that passes through the points (4, -2) and (4, 5) m = undefined Write the equation of the line that has a slope of -3 and a y-intercept of 5 y = -3x + 5 Write the equation of the line that has a slope of 1 and passes through the point (2,5). y = 1x + 3 Graph the line y = ¼ x – 3 Write the equation of the line that passes through (1,-2) and (5, 2) y = 1x – 3 Write the equation of the line passing through (2,-2) and (6,0) y=½x–3 What is the form Ax + By = C called? Standard form In standard form, x and y must be on the same side of the equals sign, and the numbers in front of x and y cannot be ____________ Fractions Write y = 3x – 4 in standard form -3x + y = -4 Write ½ x + 2y = 5 in standard form x + 4y = 10 Write 3x + 4y = 2y – 7 in standard form 3x + 2y = -7 One rainy day, Harry and Larry decided to count the cars that passed by their house. After three hours, they counted 180 cars. Write the equation in slope-intercept form for the number of cars, y, that passed by the house given, x, hours y = 60x You can order 10 shirts for $60 from a certain mail order company. From that same company, you can order 20 shirts for $100. Write the equation describing the total cost, y, given, x, shirts. y = 4x + 20 Steve is helping a friend, who has a tree farm, sell Christmas Trees. He began with 350 trees to sell. After two days, 300 trees are left. Assume that the trees sell at the same rate per day until they are gone. Write the equation for number of trees left, y, after x days. y = 350 – 25x A tank is filling with water from a natural spring. Two days ago the water was ten feet deep, and yesterday the water was 12 feet deep. Write the equation for the height of the tank, y, given x days. y = 2x + 14 An experiment is underway to test the effect of extreme temperatures on a newly developed liquid. Two hours into the experiment the temperature of the liquid is measured to be -17 degrees Celsius. After eight hours of the experiment, the temperature of the liquid is -47 degrees Celsius. Write the equation of the temperature, y, after x hours. y = -5x - 7