Find the Equation of a Line Given That You Know Two Points it Passes Through. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.

From the question, x1=4,y1=-1,x2=1,y2=0. = -1/3. Therefore the answer is A.

Slope-intercept form, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line.

The equation of a line is written in the form of y=mx+b. From the information given we can use: (y – y1) = m*(x – x1); with (x1, y1) as (0, -3); and m = 2/5 from the problem. y = 2x/5 – 3, answer.

Step-by-step explanation: The point is; (-2,-3) and slope is 0. Use one point formula. Put all values. Therefore, the equation is y = -3.

To find the equation of a graphed line, find the y-intercept and the slope in order to write the equation in y-intercept (y=mx+b) form. Slope is the change in y over the change in x. Find two points on the line and draw a slope triangle connecting the two points. Label the legs of the triangle.

The equation of a vertical line always takes the form x = k, where k is any number and k is also the x-intercept . (link) For instance in the graph below, the vertical line has the equation x = 2 As you can see in the picture below, the line goes straight up and down at x = 2.

The line of best fit is described by the equation ŷ = bX + a, where b is the slope of the line and a is the intercept (i.e., the value of Y when X = 0).

A linear regression line has an equation of the form Y = a + bX, where X is the explanatory variable and Y is the dependent variable. The slope of the line is b, and a is the intercept (the value of y when x = 0).

Line of best fit refers to a line through a scatter plot of data points that best expresses the relationship between those points. A straight line will result from a simple linear regression analysis of two or more independent variables.

A line of best fit is a straight line drawn through the maximum number of points on a scatter plot balancing about an equal number of points above and below the line. The line of best fit in the scatter plot above rises from left to right; so, the variables have a positive correlation .

How do I construct a best-fit line?

1. Begin by plotting all your data.
2. Draw a shape that encloses all of the data, (try to make it smooth and relatively even).
3. Draw a line that divides the area that encloses the data in two even sized areas.
4. Congratulations!

Today we will be talking about lines of fit on scatter plots. Some scatter plots have no correlation. This means that you can not draw a line of best fit. Line of fit: if the data points closely resemble a line the a line of best fit can be drawn.

Step 1: Calculate the mean of the x -values and the mean of the y -values. Step 4: Use the slope m and the y -intercept b to form the equation of the line. Example: Use the least square method to determine the equation of line of best fit for the data.

Also referred to as ‘trend line’, the line of best fit is the line for which the sum of the squares of the residual errors between the individual data values and the line is at its minimum—which is just a fancy way of saying it is the best possible straight line that fits your data.

The regression line is sometimes called the “line of best fit” because it is the line that fits best when drawn through the points. It is a line that minimizes the distance of the actual scores from the predicted scores.

A scatter plot of the example data. Linear regression consists of finding the best-fitting straight line through the points. The best-fitting line is called a regression line. The black diagonal line in Figure 2 is the regression line and consists of the predicted score on Y for each possible value of X.

The line in the option C is the best model for the data in the scatter plot.

1. Scatter Plots show a positive trend if y tends to increase as x increases or if y tends to decrease as the x decreases.
2. Scatter Plots show a negative trend if one value tends to increase and the other tends to decrease.
3. A scatter plot shows no trend (correlation) if there is no obvious pattern.

Scatter Diagram Procedure

1. Collect pairs of data where a relationship is suspected.
2. Draw a graph with the independent variable on the horizontal axis and the dependent variable on the vertical axis.
3. Look at the pattern of points to see if a relationship is obvious.
4. Divide points on the graph into four quadrants.

In order to create a scatter plot, we need to select two columns from a data table, one for each dimension of the plot. Each row of the table will become a single dot in the plot with position according to the column values.

A Scatter (XY) Plot has points that show the relationship between two sets of data. In this example, each dot shows one person’s weight versus their height. (The data is plotted on the graph as “Cartesian (x,y) Coordinates”)