Algebra I – Lines

In this lesson we will learn:
- Graphing an equation: turn an equation into your very first graph!
- Slope-intercept form: turning an equation into a line, and vice versa.
- Point-slope form: a formula for when you know the slope and coordinates.
- Reading graphs: forget equations, let's just look at the graphs!
- Intercepts: figuring out where lines cross the x- and y-axes
- Solving for intersections: given two lines, can you determine where they cross?
- Graphing absolute value: exploring a graph that's not a line
- Inequalities (2 variables): Simplify inequalities with two variables and test solutions
- Graphing inequalities: Graph inequalities on the coordinate plane

The graph for y= ?x+ ? equation is always a straight line, the value “?” is determine the line’s orientation.
At the y-intercept, x equals zero and at x-intercept y equals zero.
y=mx+b: m is the coefficient for x and it will always be the slope of the line, b is the y-intercept and this equation we can called Slope-intercept form.

Point-slope form: y-y1=m(x-x1)
When you are given two points that a line passes through, first calculate the slope, and then you can plug either of the two points’ coordinates into the equation.
At the y-intercept, x equals zero and at x-intercept y equals zero (to find a y-intercept, set x=0 and to find x-intercept, set y=0).
Whenever you multiply or divide an inequality by a negative, flip the inequality sign.


Algebra I – Lines - Graphing an equation | Slope-intercept form: 



Algebra I – Lines - Point-slope form: 


Algebra I – Lines - Reading graphs | Intercepts: 


Algebra I – Lines - Solving for intersections | Graphing absolute value: 



Algebra I – Lines - Inequalities (2 variables) | Graphing inequalities: 



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