Linear Equations Maze This set of 3 linear equations mazes includes 1 for writing equations from tables, 1 from written descriptions, and 1 maze that is a combination of written descriptions and tables. These mazes can take a while because students have to find the slope, the y-intercept, and then put it together into an equation.
Writing Linear Equations Given Slope and a Point When you are given a real world problem that must be solved, you could be given numerous aspects of the equation.
If you are given slope and the y-intercept, then you have it made. You have all the information you need, and you can create your graph or write an equation in slope intercept form very easily.
However, most times it's not that easy and we are forced to really understand the problem and decipher what we are given. It could be slope and the y-intercept, but it could also be slope and one point or it could be just two points.
If you are given slope and a point, then it becomes a little trickier to write an equation. Although you have the slope, you need the y-intercept. You have enough information to find the y-intercept, but it requires a few more steps. Let's look at an example.
You must always know the slope m and the y-intercept b.
Writing Equations Given Slope and a Point Write the equation of a line, in slope intercept form, that passes through the point 6, -3 with a slope of Let's first see what information is given to us in the problem.
We'll record this information in the chart below to keep it organized. Notice that in the chart, the 2 grey sections slope and y-intercept are the two numbers that we need in order to write our equation.
We know the slope and a point x,y. We can use this information to solve for b. Then we can write our equation. Then you will solve for b. Now we know the slope m is -2 because that was given to us.
We also now know the y-intercept bwhich is 9 because we just solved for b. We can now write our equation! Since you are so awesome at solving equations, I'm sure this wasn't too painful. Now let's look at a real world applications of this skill. Here you will have to read the problem and figure out the slope and the point that is given.
The slope is going to be your "rate" and the point will be two numbers that are related in some way. Write a linear equation that can be used to determine the cost of a cab ride to anywhere around Washington DC.Equations that are written in slope intercept form are the easiest to graph and easiest to write given the proper information.
All you need to know is the slope (rate) and the y-intercept. NAME DATE PERIOD Skills Practice Graphing Equations in Slope-Intercept Form Write an equation of a line in slope-intercept form with the given slope Skills Practice Writing Equations in Slope-Intercept Form Write an equation of .
Practice x-intercept Plug-in y=0 into the equation and solve for x.
6 5 4 3 2 1 Translating Word Problems into Slope-Intercept Form 3) For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an Writing Equations in Slope Intercept Form. checking your answers equation of a line point slope form this intercept standard and also story problem situations parallel perpendicular neither same lines writing equations in worksheet photo al graphing kutasoftware youtube zombies 4 pages test want to use site ad free sign up as member 16 best images worksheets using from graph stained.
Practice for slope, y-intertcept, and writing equations Write the slope-intercept form of the equation of each line given the slope and y-intercept. 1) Slope = −1, y-intercept = −5 2) Slope = −1, y-intercept . Linear Equations and Inequalities Finding slope from a graph Finding slope from two points Finding slope from an equation Graphing lines using slope-intercept form Graphing lines using standard form Writing linear equations Graphing absolute value equations Graphing linear inequalities.