Write an equation for the linear function
Show Solution First, we calculate the slope using the slope formula and two points.
Located at:. It must pass through the point 0, —3 and slant upward from left to right. Our last video shows another example of writing the equation of a line given two points on the line.
We can see that the x-intercept is 6, 0 as expected. Show Solution Analyze the information for each function. This function is represented by Line II.
Graphing linear equations
Show Solution We begin by using point-slope form. Standard Form of a Line Another way that we can represent the equation of a line is in standard form. This function has a slope of 2 and a y-intercept of 3. Notice that between any two points, the change in the input values is zero. Now we can re-label the lines. Try It Finding the x-intercept of a Line So far we have been finding the y-intercepts of functions: the point at which the graph of a function crosses the y-axis. Then, move both variables to the left side of the equal sign and constants to the right side of the equal sign. Try It.
Write the equation in standard form.
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