The equation y=mx+b is the combination of the Y-intercept and the slope of a certain point in the graph. Y in the equation means the point. M is the slope which is followed by X, and B is the y-intercept. In conclusion, the point (Y) is determined and equivalent to the slope (MX) added to the y-intercept (B)

The slope is determined by the rise/run. Meaning MX is the equivalent to how many cubes in the graph does the point go from the origin point as well as how many cubes to the right. (To the right is a brief video that explains rise/run.)

For those who don't know what the y-intercept is: it is the point on a graph of where the line intersects the y-axis. By inspecting the graph and determining which point crosses the y axis, you will determine the y-intercept. The point will never be in the middle of the graph, it will constantly remain on the y-axis.

In this image, there are 2 points on a line. This slope goes down from the left corner meaning it is a negative slope. To determine the slope (m) you need to go to the point further down and count how many cubes/points it takes to be at the same level as the second point, and then how many spaces you need to move horizontally to get to the point. The number of spaces you rose is the numerator and the number of spaces you moved horizontally is the denominator.

EXPLANATION- By creating a table of values, you will be able to graph a line when provided with an equation in slope-intercept form. Pick some x values and add them to the equation in order to determine the coordinate point's corresponding y-values. Make a graph of the points you've chosen. To draw a line, then afterwards connect the lines.

PRACTICE LINK: Solve IXL,-https://www.ixl.com/math/grade-8/complete-a-table-and-graph-a-linear-function

VIDEO FOR FURTHER EXPLANATION-

EXPLANATION- There are three steps we should use in order to graph a line using two points .The first step is to ensure that the line's equation is in Slope-Intercept Form, Begin by calculating the y-intercept, Using the slope m and the y-intercept at the point of reference, find another point. Using a ruler, connect the two points.

VIDEO FOR FURTHER EXPLANATION-

PRACTICE LINK: Solve IXL,-https://www.ixl.com/math/grade-8/complete-a-table-and-graph-a-linear-function

EXPLANATION- In order to graph a line using one point and a slope we have to Plot the given point first then use the slope formula to identify the rise and the run, and afterwards, starting at the given point, count out the rise and run to mark the second point, and lastly Connect the points with a line.

PRACTICE LINKS- Practice IXL-https://www.ixl.com/math/grade-7/graph-a-line-using-slope

VIDEO FOR FURTHER EXPLANATION-

EXPLANATION- Begin by plotting the y-intercept, which would be in this case the b value, to graph the equation of a line written in slope-intercept (y=mx+b) form. The y-intercept that's where the line will cross the y-axis, so calculate the quantity of units represented by the b value up or down on the y-axis.

PRACTICE LILNKS- Practice IXL-https://www.ixl.com/math/grade-8/graph-a-line-from-an-equation-in-slope-intercept-form AND solve DELTA MATH- https://www.deltamath.com/teacher/data/assignment/13262424

VIDEO FOR FURTHER EXPLANATION-

Links and images to further explain:

y=mx+b simply means the point=slope x added to the y-intercept. Instead of the variable B, we use the y-intercept in the graph. If you have forgotten, the y-intercept is the point where the line going through the graph intersects with the y-axis. It always remains on the y axis meaning its X coordinate is always 0.

EXAMPLE-

EXPLANATION- The slope is calculated by dividing the rise by the run: Slope = run-up Slope = rise and run. The rise and run of a line can be used to calculate its slope from its graph. One feature of a line is that the slope stays unchanged over its length.

SOLVE - https://www.ixl.com/math/grade-8/find-the-slope-of-a-graph

EXPLANATION- The direction of a line is determined by its slope. To calculate the slope, divide the difference between the y-coordinates of two-line segments by the difference between their x-coordinates. In addition, the variation in y values goes in the numerator of the formula, while the variation in x values heads to the denominator.

SLOVE- https://www.deltamath.com/student

EXPLANATION- To identify the slope of a line provided its equation, convert it to slope-intercept type first. Since the slope is the coefficient of the x variable, or the integer in front of x, you can easily see it. Inverse operations are used to solve for y, resulting in y=mx+b.

The M portion of the equation is replaced with the slope. We have already discussed that the slope is the rise over run, therefore it will be a simplified fraction or whole number. The x in the equation follows the slope and is never replaced with any other letters, fractions, or numbers.