Point-Slope Formula I can write an equation given a point and the slope.

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Presentation transcript:

Point-Slope Formula I can write an equation given a point and the slope.

2 forms to write linear equations. 1. Slope-intercept form.y = mx + b m = slopeb= y-intercept 2. Point-slope form. or y = m(x – x 1 ) + y 1

Write an equation in slope-intercept form. Slope = 2; b= -5y = mx + b y = x2-5 Slope = 3; b= 4y = mx + b y = x3+ 4

Write an equation in slope-intercept form. Slope = 4; b= -1y = mx + b y = x4 Slope = 2 and the line goes through (5,7) y = m(x – x 1 ) + y 1 y = (x – )+ 752 Write an equation in Point-slope form.

Write an equation in point –slope form AND slope-intercept form given a point and slope. Slope = ½ and the line goes through (4,-8) y = m(x – x 1 ) + y 1 y = (x – )- 84½ Point-slope form Slope-intercept form

Write an equation in Point-Slope Form and in slope-intercept form Slope = -4 and the line goes through (-3,-8) y = m(x – x 1 ) + y 1 y = (x – ) y = -4 (x + 3) - 8 y = -4x – y = -4x – 20 Point-slope form Slope-intercept form

Write and graph an equation through the points (2,6) and (4, 16) = 10 2 = 5 y = m(x – x 1 ) + y 1 y = (x – )52+ 6 y = 5x – y = 5x - 4 m= b= Find the slope 5 -4

homework WS: 5.4 point-slope formula.