Point-Slope Form of a Line

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Presentation transcript:

Point-Slope Form of a Line Created using exactly what it says… I need to have a point on the line (x1,y1) and the slope, m, of the line. Remember how to find slope?

Setting up Point-Slope Form Write the equation of a line with slope of 5/4 and passing through (0, 5).

Setting up Point-Slope Form Write the equation of the line passing through (-2, 5) and (4, -3).

Slope-Intercept Form of a Line We discussed this yesterday. I need to have the slope of the line and know what the y-intercept is. Start with point-slope and put in the y-int of (0, b).

Setting up Slope-Intercept Form Write the equation of the line with slope -2 that passes through the point (-2, 8).

Setting up Slope-Intercept Form Write the equation of the line with a y-int of (0, 4) and an x-intercept of (-1, 0).

Graphing from the equation Slope-Intercept Form is the easiest to graph! We can see a point to start on (somewhere on the y-axis) and the slope that tells how to get to the next point, and the point after that, etc. Steps: Plot the y-intercept Starting there do your rise and run from your slope.

Find the slope and the y-intercept of the line with the equation 2(y – 1) = 3x +2 and graph.

Are lines represented by 3x – 2y = 4 and 6x = 4(y + 1) parallel?

Are lines represented by 3x + 2y = 6 and 2x – 3y = 6 perpendicular?

Write the equation of the line that is parallel to the line y = 8x – 3 and passes through the origin.

Write the equation of the line that is perpendicular to the line y = 8x – 3 and passes through 2, 4.

General Form of a Linear Eq. Ax + By = C A and B cannot both be 0. Slope-intercept Form of a Line Y = mx + b The slope is m, and the y-intercept is (0, b) Point-slope form of a line y – y1 = m(x – x1) The slope is m, and the line passes through (x1, y1) A horizontal Line y = b The slope is 0, and the y-intercept is (0, b) A Vertical Line x = a There is no defined slope, and the x-intercept is (a, 0)

Homework p. 119/ 7-11, 13-16, 19, 25, 27, 40, 59, 75 Extra Practice: 20, 26, 28, 39, 41