Standard Form Different Forms Slopeintercept form y mx

Standard Form

Different Forms Slope-intercept form y = mx + b slope y-intercept Standard form Ax + By = C Cannot both be 0 Point-Slope form y – y 1 = m(x – x 1) y-coordinate slope x-coordinate

Finding the x-intercept and y-intercept Standard form 2 x + 4 y = 12 To find the x-intercept, substitute 0 for y and solve for x. To find the y-intercept, substitute 0 for x and solve for y. 2 x + 4(0) = 12 2 x = 12 x=6 2(0) + 4 y = 12 y=3 x-intercept is (6, 0) y-intercept is (0, 3)

Finding the x-intercept and y-intercept 4 x – 9 y = 18 5 x + 2 y = -10 4 x – 9(0) = 18 4 x = 18 x = 4. 5 5 x + 2(0) = -10 5 x = -10 x = -2 x-intercept is (4. 5, 0) 4(0) – 9 y = 18 -9 y = 18 y = -2 x-intercept is (-2, 0) 5(0) + 2 y = -10 y = -5 y-intercept is (0, -2) y-intercept is (0, -5)

Graphing Lines Using Intercepts 2 x + 3 y = 12 Steps 1) Find the intercepts 2 x = 12 x=6 (6, 0) 3 y = 12 y=4 (0, 4) 2) Plot the intercepts and draw a line through the points.

Graphing Lines Using Intercepts 5 x + 2 y = -10 1) 5 x = -10 x = -2 (-2, 0) 2 y = -10 y = -5 (0, -5) 2) 4 x – 9 y = 18 4 x = 18 x = 4. 5 (4. 5, 0) -9 y = 18 y = -2 (0, -2)

Graphing Horizontal and Vertical Lines y = -3 Steps 1) Write in standard form if needed 0 x + 1 y = -3 2) This means that for all values of x, y = -3 x=2 1) 1 x + 0 y = 2 2) This means that for all values of y, x = 2

Graphing Horizontal and Vertical Lines y=5 y = -1 x = -4 x=6

¿Preguntas? est-ce que vous en avez?

Assignments Class Work Page 333 Page 334 #1 – 18 #19 – 25 odd #38 – 46 Homework Page 335 #73 – 76