The World Of Linear Equations Writing Linear Equations In Slope-Intercept Form y = mx + b.

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Presentation transcript:

The World Of Linear Equations Writing Linear Equations In Slope-Intercept Form y = mx + b

If you are given: The slope and y-intercept Finding the equation of the line in y= mx + b form. Given: slope and y-intercept. Just substitute the “m” with the slope value and the “b” with the y- intercept value. Slope = ½ and y-intercept = -3 y= mx + b ½ -3 y= ½x – 3

If you are given: A Graph Find the: y – intercept = b = the point where the line crosses the y axis. Slope = = m = y – intercept = b = -3 Slope = = m = ½ y= mx + b ½ -3 y= ½x – 3

If you are given: The slope and a point Given: slope (m) and a point (x,y). To write equations given the slope and a point using Point-Slope Form. Slope =½ and point (4,-1) ½ 4 y= ½x – 3 Point-Slope Form -1 -1

If you are given: The slope and a point Given: slope (m) and a point (x,y). Substitute x, y, and m into y = mx+b and find the value of b (the y-intercept). Then write the equation substituting m and b values into y = mx + b. Slope =½ and point (4,-1) y = mx + b ½ 4 y= ½x – 3 -1 = ½(4) + b - 1 = 2 + b = b So! m = ½ and b = -3

If you are given: Two points Finding the equation of the line in y= mx + b form. Given: Two points. First find the slope (m) and then substitute one of the points x and y values into y = mx+b along with the slope. Point (-2, -4) & Point (2, -2) Find the: Slope = = m = Slope = ½ and point (2, -2) y = mx + b ½ = ½(2) + b y= ½x – = 1 + b = b So! m = ½ and b = -3

If you are given: Two points Finding the equation of the line in y= mx + b form. Given: Two points. First find the slope (m) and then substitute one of the points x and y values into Point-Slope Form. Point-Slope Form Point (-2, -4) & Point (2, -2) Find the: Slope = = m = Slope = ½ and point (2, -2) ½ y= ½x – 3

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