Write Linear Equations in Point-Slope Form 6.2 Write Linear Equations in Point-Slope Form LEARNING TARGETS: Students will be able to… Write an equation in point-slope form. Graph an equation in point-slope form. Use point slope to write an equation of a line given two points or a point and a slope.

Forms of linear equations we already know Standard form: Ax + By = C A, B, C are integers Useful when graphing intercepts Slope-intercept form y = mx + b use when you know the slope and y-intercept

What if… What could we do to write the equation of a line if we are given two points and one of the points is not the y-intercept? Find the slope Use Point-Slope Form to find the equation of the line Change to Slope-Intercept Form

Today’s new form of a line Point-Slope Form Useful when you know a point (not the y-intercept) and a slope and want to write an equation of a line.

Today’s new form of a line Point-Slope Form Given: Point: (x1, y1) Slope: m y - y1 = m(x - x1)

y - y1 = m(x - x1) y - 2 = 3(x - 4) Example - Given (4, 2); m = 3 We can distribute the 3 to the x and 4 and then solve for y to change the equation into slope-intercept form.

Write an equation for a line through (3, 4) with a slope = 3 Write an equation for a line through (3, 4) with a slope = 3. Put your answer in slope-intercept form.

Write an equation for a line through (-2, 2) and (1, 8) Write an equation for a line through (-2, 2) and (1, 8). Put your answer in slope-intercept form.

Write an equation of the line. Put your answer in slope-intercept form.

Write an equation of the line. Put your answer in slope-intercept form.

Tell whether the data in each table can be modeled by a linear equation. If possible, write an equation that relates y and x. x 2 4 6 8 10 y -1 5 15 29 47

Tell whether the data in each table can be modeled by a linear equation. If possible, write an equation that relates y and x. x 1 3 5 7 9 y 4 2 -2 -4

Homework Page 245 #17-21 odd Page 255 #1-7, 11, 12, 14-17, 20, 22