#SLOPE INTERCEPT FORM EQUATION MAKER HOW TO#

In each question, they’re presented with an equation in slope-intercept form and asked to graph it by first finding the slope and then using this slope to find a second point. To implement this activity in your class, make sure all students have a suitable device (one per student). This exercise will help students reinforce their skills to graph a linear equation in slope-intercept form. Y = 2x – 5 Activities to Practice Slope-Intercept Form Graph from Slope-Intercept Form Let’s say we’ll put the point (3, 1) in y = mx + b, which will result in the following:įinally, we’ll write the equation using the values for m and b that we’ve already identified: Now that we’ve determined it, we’ll put the slope m together with one of the two points in y = mx + b and solve for b. By replacing the values for (x 1, y 1) and (x 2, y 2) and we’ll get: For instance, let’s say we’re given the following points (1, – 3) and (3, 1) and we need to write an equation in slope-intercept form for the line going through these points.īy following the above-mentioned steps, first, we’ll find the slope m with the slope formula.

#SLOPE INTERCEPT FORM EQUATION MAKER HOW TO#

Present an example of how to write an equation in slope-intercept form when we’re given two points. Finally, we’ll write the final equation by using the values for m and b that we already found in the above steps.Then, we’ll find the y-intercept by replacing the values of any of the two points (x 1, y 1) or (x 2, y 2) in the formula y = mx + b and then we’ll solve for b.First, we will find the slope with the help of the following slope formula:.We can also present in the following way:Įxplain to students that when we are given two points on a line, we can write their slope-intercept form by following these steps: Add that in the linear equation at hand, y = 2x + 3, the change in y equals 2 when the change in x equals 1. By creating a table with values for x and y, we can see that when x is 0, y is 3 when x is 1, y is 5 when x is 2, y is 7.Įxplain that our change in y is 2, that is, for every 1 that x increased, y increased by 2. The video shows how to graph y = 2x + 3 in the coordinate plane, and then find the y-intercept as well as the slope.Īdd that the y-intercept is 3 and the slope is 2 in y = 2x + 3 from what we can observe in the graph as well. Use this video by Khan Academy to illustrate how to graph a linear equation. In other words, the slope is – 4 and the y-intercept is – 5. If we draw a comparison between the two, point out that we can observe that m equals – 4 and b equals – 5. Then, tell students to compare the above equation with the mentioned form: For instance, you can write the following equation:

Write an equation on the whiteboard and demonstrate to students how to find the slope and y-intercept. Also remind students that the slope is what indicates the line steepness, so with a greater slope, the steepness is also greater.

…where m represents the slope of the line, and b is the y-intercept, that is, the y coordinate of the point where the line crosses the y-axis. So what is slope-intercept form? Explain that the slope-intercept form of a linear equation (or a line) is of the following form:

Point out to students that there are a lot of ways to represent a linear equation, among which the slope-intercept form is only one. Define linear equations as equations that produce a straight line when we plot them on a graph.Īdd that each term in a linear equation has an exponent of 1. You can start your lesson on the slope-intercept form of a linear equation by first explaining what linear equations are. Tips for Teaching the Slope-Intercept Form What Are Linear Equations? Read on to find out how to teach slope-intercept form in a creative way. When learning about linear functions, algebra 1 students learn what the concept of slope-intercept form of a linear equation means, as well as how to represent any line using slope-intercept form.Įven though the slope-intercept form may not be the simplest lesson for students, there are many ways in which math teachers can make this topic more accessible and more engaging.

Slope intercept form equation maker