Slope Steepness and Direction The slope of a line tells two things: This gives you a valuable clue about how to find slope:
There are several different ways to graph linear equations. Using slope intercept form is one of the quickest and easiest ways to graph a linear equation.
Before we begin, I need to introduce a little vocabulary.
We are going to talk about x and y intercepts. An x intercept is the point where your line crosses the x-axis. The y intercept is the point where your line crosses the y-axis. Slope intercept form is used when your linear equation is written in the form: When an equation is written in this form, you can look at the equation and have enough information to graph the equation.
Plot the y-intercept on your graph.
The y-intercept is 4, so I will plot the point 0,4 Step 2: From the y-intercept 0,4 use the slope to plot your next point. The slope is 2, so you will rise 2 up and run 1 to the right. Draw a line through your two points. Every point on this line is a solution to this equation. Need a little more clarification?
No problem, just check out the following video. Example 1 will be explained again step by step. In this example, we will graph an equation that has a negative slope. The y-intercept is 0.
Since there is no number value for b, the y-intercept is 0. This means that the y-intercept is at the origin or 0,0. Therefore, from the y-intercept, we will count down 1 and right 3.
Then plot your next point at -1,3. Notice that the slope in this equation is negative. This means that our line must be "falling" from left to right. Always double check your line and your slope.
If your slope is positive, then your line should "rise" from left to right. If your slope is negative, then your line should "fall" from left to right.Improve your math knowledge with free questions in "Slope-intercept form: write an equation from a table" and thousands of other math skills.
Write the standard form of the equation of each line given the slipe Algebra I have an assignment that asks me to write an equation in slope-intercept, point-slope, or standard form for the information given and to explain why the chosen form would be best.
Graphing a linear equation written in slope-intercept form, y= mx+b is easy!
Remember the structure of y=mx+b and that graphing it will always give you a straight line. Linear Equation Table.
Algebra ; Geometry ; Trigonometry; Calculus; Substitute slope into the slope intercept form of a line. y = mx +b y = 4x +b you could check your answer by substituting the values from the table into your equation. Each and every x,y pair from the table should work with your answer.
Problem 5. Write the equation of. For an interactive, paper-based approach to distinguishing between slope and y-intercept slope, this sorting activity was a winner in my class. First, students have to look at some situations and determine if each one represents slope or y-intercept.
Writing Equations of Lines Review for Quiz Period____ A. Write the slope-intercept form of the equation of each line given the slope and y-intercept. 1) Slope = 5, y-intercept .