Which Equation Represents This Graph (2024)

FAQs

Which equation represents the line on the graph? ›

In the equation y = mx + b, m represents the slope of the line and b represents the y-intercept. To find the slope, we can choose any two points on the line and use the formula m = (y2 - y1) / (x2 - x1).

Summary: The slope of a trend line that passes through the points (-3, 3) and (18, 26) is 23 / 21.

Which is the equation of a trend line that passes through the points (7, 450) and (14, 401)? y = negative 7 x + 499.

Therefore, the slope of the trend line that passes through the points (5, 80) and (7, 65) is -7.5.

Given the graph of a line, you can determine the equation in two ways, using slope-intercept form, y=mx+b, or point-slope form, y−y1=m(x−x1). The slope and one point on the line is all that is needed to write the equation of a line. All nonvertical lines are completely determined by their y-intercept and slope.

As, the graph of y + 2 = 0 or y = −2 is a line parallel to x-axis i.e. y = 0. ⇒ The line represented by the equation y = −2 is parallel to the x-axis and intersects y-axis at y = −2.

The slope, or steepness, of a line is found by dividing the vertical change (rise) by the horizontal change (run). The formula is slope =(y₂ - y₁)/(x₂ - x₁), where (x₁, y₁) and (x₂, y₂) are the coordinates of two points on the line. Created by Sal Khan and Monterey Institute for Technology and Education.

To find y-intercept: set x = 0 and solve for y. The point will be (0, y). To find x-intercept: set y = 0 and solve for x. The point will be (x, 0).

Explanation: One can use either the slope formula m = (y₂ – y₁)/(x₂ – x₁) or the standard line equation, y = mx + b to solve for the slope, m. By calculation or observation, one can determine that the slope is –3.

How to Calculate the Trend Line. How does someone calculate the trend line for a graph? A trend line indicates a linear relationship. The equation for a linear relationship is y = mx + b, where x is the independent variable, y is the dependent variable, m is the slope of the line, and b is the y-intercept.

How do you find the slope of a linear trend line? ›

The slope of a trendline is the rate of change of the data points over time. It is calculated by taking the difference between two data points and dividing it by the amount of time between them.

Line of Best Fit Graph and Formula. The line of best fit formula is y = mx + b. Finding the line of best fit formula can be done using the point slope method. Take two points, usually the beginning point and the last point given, and find the slope and y intercept.

The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept.

The form y=mx+b means slope m and y-intercept b; similarly, the form y=mx+a means slope m and y-intercept a. The form y=m(x-a) is essentially different from the other two forms, and means slope m and x-intercept (instead of y-intercept) a.

The equation is written in slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept.

A linear equation is an equation with two variables whose graph is a line.