Non-proportional Linear Equations – Day 2 Slope/Intercept form

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Presentation transcript:

Non-proportional Linear Equations – Day 2 Slope/Intercept form

How to get an equation from a table y = mx ± b Will be add or subtract – don’t know yet Find the slope Find the y-intercept Put it in the format y = _____x ± _______ x -6 -4 -2 y 4 8 12 16

How to get an equation from a table y = mx + b Find the slope Find the y-intercept Put it in the format y = _____x ± _______ 2 Find the Slope (m) = Find the Rate of Change (CROC) Δ𝑦 Δ𝑥 4 2 x -6 -4 -2 y 4 8 12 16

How to get an equation from a table y = mx + b Find the slope Find the y-intercept Put it in the format y = _____x + _______ 16 2 Find the y-intercept – look for the ordered pair that has 0 as the x coordinate – that’s your y-intercept x -6 -4 -2 y 4 8 12 16

y = 2x + 16 Test your equation (2)(-6) + 16 = 4 (2)(-4) + 16 = 8 -2 y 4 8 12 16 Test your equation (2)(-6) + 16 = 4 (2)(-4) + 16 = 8 (2)(-2) + 16 = 12

−4 3 Find the slope Find the y-intercept Put it in the format y = _____x ± _______ −4 3 Find the Slope (m) = Find the Rate of Change (CROC) Δ𝑦 Δ𝑥 x -3 3 6 y 2 -2 -6 -10

−4 3 2 Find the slope Find the y-intercept Put it in the format y = _____x - _______ −4 3 2 Find the y-intercept – look for the ordered pair that has 0 as the x coordinate – that’s your y-intercept x -3 3 6 y 2 -2 -6 -10

y = −4 3 x - 2 Test your equation ( −4 3 )(-3) - 2= 2 3 6 y 2 -2 -6 -10 Test your equation ( −4 3 )(-3) - 2= 2 ( −4 3 )(0) - 2= -2

7 Find the slope Find the y-intercept Put it in the format y = _____x ± _______ 7 Find the Slope (m) = Find the Rate of Change (CROC) Δ𝑦 Δ𝑥 x y 1 8 2 15 3 22 4 29

7 Find the slope Find the y-intercept Put it in the format y = _____x ± _______ 7 Find the y-intercept – look for the ordered pair that has 0 as the x coordinate – that’s your y-intercept x y 1 8 2 15 3 22 4 29

Put it in the format y = _____x ± _______ Find the slope Find the y-intercept Put it in the format y = _____x ± _______ Find the y-intercept – look for the ordered pair that has 0 as the x coordinate – that’s your y-intercept x y 1 8 2 15 3 22 4 29

7 Find the slope Find the y-intercept Put it in the format y = _____x ± _______ 7 Find the y-intercept – look for the ordered pair that has 0 as the x coordinate – that’s your y-intercept x y 1 8 2 15 3 22 4 29

7 1 Find the slope Find the y-intercept Put it in the format y = _____x ± _______ 7 Find the y-intercept – look for the ordered pair that has 0 as the x coordinate – that’s your y-intercept Keep going backward in the ordered pairs until you get 0 in the x spot 1 8 2 15 3 22 4 29

7 1 1 Find the slope Find the y-intercept Put it in the format y = _____x + _______ 7 1 Find the y-intercept – look for the ordered pair that has 0 as the x coordinate – that’s your y-intercept 1 8 2 15 3 22 4 29

y = 7x + 1 (7)(1) + 1 = 8 (7)(2) + 1 = 15 x y 1 8 2 15 3 22 4 29

y = 7x + 1 (7)(1) + 1 = 8 (7)(2) + 1 = 15