m = X2 X1 – 2 (-2) 4 = 2 – m = 9 3 = 6 = 3 – ========================= What is the slope of the straight line passing through (2.5, 1) and (-2, 3.25)? -0.5 0.5 -2 2.25 Y2 Y1 – m = X2 X1 – m = (3.25 1) 2.25 – (–2 - 2.5) = = –4.5 –0.5 Solve for =” “y 3x y = 5 – 3x y + y = 5 + y – 3(x) = 5 + y 3(x) = 5 + y 3x 5 = 5 5 + y – – 3x 5 = y – (since Y = mx + b . . . then) y = 3x + (- 5) (or simply. . .) y = 3x - 5 = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = Find the slope and y-intercept of the line with equation: 2x y = 5 – [First solve for =” . . . add y to both sides] “y 2x = y + 5 [Then . . . subtract 5 from both sides] 2x 5 = y [The y is isolated, so . . .] –
m = X2 – X1 2 – (-2) 4 = 2 m = 9 – 3 = 6 = 3 ========================= What is the slope of the straight line passing through (2.5, 1) and (-2, 3.25)? -0.5 0.5 -2 2.25 Y2 – Y1 m = X2 – X1 m = (3.25 – 1) 2.25 (–2 - 2.5) = –4.5 = –0.5 Solve for “y =” 3x – y = 5 3x – y + y = 5 + y 3(x) = 5 + y 3(x) = 5 + y 3x – 5 = 5 – 5 + y 3x – 5 = y (since Y = mx + b . . . then) y = 3x + (- 5) (or simply. . .) y = 3x - 5 = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = Find the slope and y-intercept of the line with equation: 2x – y = 5 [First solve for “y =” . . . add y to both sides] 2x = y + 5 [Then . . . subtract 5 from both sides] 2x – 5 = y [The y is isolated, so . . .]
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