Various Forms of linear Equation Standard SlopeIntercept Slopepoint

Various Forms of linear Equation Standard Slope-Intercept Slope-point Ax + By = C –A m= B y = mx + b y – y 1 = m(x – x 1) m the slope b y-intercept m the slope (x 1, y 1) point

Lesson 4 -7 Write a linear equation in slope-point form Graphing a line using slope-point form

Write a linear equation in slope-point form Write the equation that describes the line in slope-point form and slope intercept form 1) m = 3, x 1 y 1 (2, -1) Step. 1 write the slope-point form y – y 1= m (x – x 1) Step. 2 substitute m, x 1 and y 1 y – -1= 3 (x – 2) Step. 3 Simplify y + 1= 3 x – 6 Step. 4 write in slope-intercept form y = 3 x – 7

x 1 y 1 x 2 y 2 2) (2, -3) and (4, 1) Step. 1 find the slope m= y 2 – y 1 = 1 – -3 = 4 = 2 x 2 – x 1 2 4 – 2 Step. 2 write the slope-point form y – y 1 = m (x – x 1) Step. 3 substitute m, x 1 and y 1 y – -3 = 2 (x – 2) Step. 4 Simplify y + 3 = 2 x – 4 Step. 5 write in slope-intercept form y = 2 x – 7

3) x-intercept -1 and y-intercept 1 x 1 y 1 (-1, 0) x 2 y 2 and Step. 1 find the slope (0, 1) m= y 2 – y 1 = 1 – 0 = 1 x 2 – x 1 1 0 – -1 Step. 2 write the slope-point form y – y 1= m (x – x 1) Step. 3 substitute m, x 1 and y 1 y – 0 = 1 (x – -1) Step. 4 Simplify y– 0=x+1 Step. 5 write in slope-intercept form y = x + 1

Graphing a line using slope-point form Graph the line described 1) m = -1/2, (0, 3) Step. 1 graph the point (0, 3) Step. 2 start from the point, count 1 unit down and 2 units right, and plot another point. Step. 3 Draw a line through the two points point

Graphing a line using slope-point form Graph the line described 2) y – 1 = 2(x – 2) Step. 1 write in slope-intercept form y – 1 = 2 (x – 2 ) y – 1 = 2 x – 4 m y = 2 x – 3 b Step. 2 graph b Step. 3 start from b, count 2 unit up and 1 unit right, and plot another point. Step. 4 Draw a line through the two points b

H. W 2, 3, 4, 6, 8, 10, 12, 14, 46, 49, 54, 55 page 279, 281, 282