WARM UP WRITING EQUATIONS Write in slope-intercept form the equation of the line that passes through the given point and has the given slope. (Lesson 5.2) 1.(2, 3), m = -2 2.(3, 0), m = -4 3
WARM UP WRITING EQUATIONS Write in slope-intercept form the equation of the line that passes through the given point and has the given slope. (Lesson 5.2) 1.(2, 3), m = -2 2.(3, 0), m = -4 2
WARM UP WRITING EQUATIONS Write in slope-intercept form the equation of the line that passes through the given point and has the given slope. (Lesson 5.2) 1.(2, 3), m = -2 2.(3, 0), m = -4 1
WRITING EQUATIONS Write in slope-intercept form the equation of the line that passes through the given point and has the given slope. (Lesson 5.2) 1.(2, 3), m = -2 2.(3, 0), m = -4 WARM UP 0
7.1 Graphing Linear Systems SOLVING A LINEAR SYSTEM USING GRAPH-AND-CHECK ①WRITE each equation in slope-intercept form. ②GRAPH both equations in the same coordinate plane. ③ESTIMATE the coordinates of the point of intersection. ④CHECK whether the coordinates give a solution by substituting them into each equation of the original linear system.
7.1 Graphing Linear Systems EXAMPLE 2 EXAMPLE 2 GRAPH AND CHECK A LINEAR SYSTEM Use the graph to solve the solution of the linear system. x + y = -2 2x – 3y = -9 ①WRITE each equation in slope-intercept form.
7.1 Graphing Linear Systems EXAMPLE 2 EXAMPLE 2 GRAPH AND CHECK A LINEAR SYSTEM Use the graph to solve the solution of the linear system. x + y = -2 2x – 3y = -9 ②GRAPH both Equations. 2x – 3y = -9 x + y = -2
7.1 Graphing Linear Systems EXAMPLE 2 EXAMPLE 2 GRAPH AND CHECK A LINEAR SYSTEM Use the graph to solve the solution of the linear system. x + y = -2 2x – 3y = -9 ③ESTIMATE the coordinates of the point of intersection. 2x – 3y = -9 x + y = -2 (-3, 1)
7.1 Graphing Linear Systems EXAMPLE 2 EXAMPLE 2 GRAPH AND CHECK A LINEAR SYSTEM Use the graph to solve the solution of the linear system. x + y = -2 2x – 3y = -9 ④CHECK whether (-3, 1) is a solution by substituting -3 for x and 1 for y in each of the original equations. 2x – 3y = -9 x + y = -2 (-3, 1)
7.1 Graphing Linear Systems GRAPH-AND-CHECK to solve the linear system. 1.x - y = 5 2x + 3y = 0 CHECK POINT CERTIFIED
7.1 Graphing Linear Systems Page # Graph CLASSWORK