Download presentation

Published byAlvin Jones Modified over 6 years ago

1
Slope – Intercept Form What do all the points on the y-axis have in common? What do all the points on the x-axis have in common?

2
**Slope-Intercept Form of a Linear Equation**

We can use the x- & y-intercepts (where the line crosses the x- & y-axes, respectively) to graph a linear equation: 2x + 3y = 6 Find the y-intercept by setting x = 0 & solving for y. 2(0) + 3y = 6 3y = 6 y = 2 (0,2) y-intercept (2) Find the x-intercept by setting y = 0 & solving for x. 2x + 3(0) = 6 2x = 6 x = 3 (3,0) x-intercept (3) Draw the line of the linear equations connecting the points (x-intercepts, 0) & (0, y-intercept). Connect points (0,2) & (3,0) w/ a line.

3
**Slope-Intercept Form of a Linear Equation**

Slope-intercept form: y = mx + b, where m = slope, b = y-intercept. To find the slope-intercept form of a linear equation, given 2 coordinates: (-3,1) & (2,-1) Find slope of the line. Slope = (y2 – y1) / (x2 – x1) = [(-1) – (1)] / [(2) – (-3)] = -2/5 (2) Use one of the coordinates to find y-intercept. (-3,1) 1 = (-2/5)(-3) + b 1 = 6/5 + b b = 1 – (6/5) = -1/5 (3) Write equation using slope & y-intercept. y = (-2/5)x + (-1/5) OR y = (-2/5)x – (1/5)

4
**Classwork (HW if not completed in class)**

Think & discuss – p. 552 Describe the line represented by the equation y = -5x + 3. Give a real-life example with a graph that has a slope of 5 and a y-intercept of 30. Classwork (HW if not completed in class) p. 552 – ex (evens), 21, 22, 24, 26, 28-30

Similar presentations

© 2021 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google