Presentation on theme: "Linear Equations Unit. Lines contain an infinite number of points. These points are solutions to the equations that represent the lines. To find."— Presentation transcript:
Linear Equations Unit
Lines contain an infinite number of points. These points are solutions to the equations that represent the lines. To find a point on the line, choose any x-value since lines are infinite and find the corresponding y-value.
The equations of lines contain both x and y as variables to represent the coordinates of the lines’ points. A line may be represented by an equation. The slope-intercept form of a line is y = mx+b where m represents the slope and b represents the y-intercept.
The y-intercept is a point where the line crosses the y-axis. The b in the equation y=mx+b is the value of the y-coordinate in the ordered pair (x,y) of the y-intercept. The x-intercept is a point where the line crosses the x-axis. The slope is the rise divided by the run or the difference in the y-values divided by the difference in the x-values.
Solve for b using y=mx+b where the constant rate of change is 4 and with P(-2,3) on the line. Substitute. 3 = 4(-2)+b Simplify. 3 = -8+b Solve. 3+8=-8+8+b 11=b Check