Definitions of Slope Slope is the rate of change of a linear equation. Slope is the direction and steepness of a line. Slope is rise over run. 𝐫𝐢𝐬𝐞 𝐫𝐮𝐧 Slope is the change in y over the change in x. 𝚫𝒚 𝚫𝒙 = 𝒚𝟐−𝒚𝟏 𝒙𝟐−𝒙𝟏
Slope-Intercept Form 𝒚=𝒎𝒙+𝒃 where m is the slope of the line and b is the y-intercept (0,b)
3 rules: Ax + By = C “A” must be positive No fractions or decimals Standard Form 3 rules: Ax + By = C “A” must be positive No fractions or decimals
Change these equations from slope/intercept form to standard form Change these equations from slope/intercept form to standard form. y = 3x – 8 3x – y = 8 y = - ⅔ x + 7 2x + 3y = 21 y = ⅗ x – 2 3x – 5y = 10
Identify slope, y-intercept and the equation for each data set. X Y -2 5 2 11 6 17 10 23
Identify slope, y-intercept and the equation for each data set. x y -4 -9 4 -21 12 -33 20 -45 28 -57
Identify slope, y-intercept and the equation for each data set. x y -4 -9 4 -21 12 -33 20 -45 28 -57
Identify slope, y-intercept and the equation for each data set. x y -7 10 -3 5 1 -5 9 -10