If you said vertical, you are correct. You must always know the slope m and the y-intercept b. What will we look for in the problem?
The slope-intercept form and the general form are how final answers are presented. So any point on this line, or any x, y on this line, would have to satisfy the condition that the slope between that point-- so let's say that this is some point x, y.
If you are comfortable with plugging values into the equation, you may not need to include this labeling step. Other students will try to look ahead a few steps and see which point might be easiest to use. Those have x and y variables in the equation. So if we multiply both sides by x minus a-- so x minus a on the left-hand side and x minus a on the right.
Writing an Equation Given the Slope and Y-Intercept Write the equation for a line that has a slope of -2 and y-intercept of 5. What will we look for in the problem? Now, let's see why this is useful or why people like to use this type of thing.
There is no pair x, y that could satisfy both equations, because there is no point x, y that is simultaneously on both lines. If you are given slope and the y-intercept, then you have it made.
Write a linear equation that can be used to determine the cost of a cab ride to anywhere around Washington DC. If the point a, b is on this line, I'll have the slope times x minus a is equal to y minus b.
In our problem, that would have to be 2.
How do we write an equation for a real world problem in slope intercept form? Now we know the slope m is 1. We know that it has a slope of m, and we know that the point a, b is on this line. The standard point slope formula looks like this: In most practical situations, though, the precision of the calculator is sufficient.
Our change in y-- well let's see. Your slope was given to you, so where you see m, use 2. We can get down to business and answer our question of what are the slope and y-intercept.
In the example above, we took a given point and slope and made an equation. Look at the slope-intercept and general forms of lines. Since you are so awesome at solving equations, I'm sure this wasn't too painful.Algebra 1 Test Practice.
Welcome to McDougal Littell's Test Practice site. This site offers multiple interactive quizzes and tests to improve your test-taking skills. This is a carousel activity on writing linear equations in slope intercept form. There are 12 questions in all. The first 6 questions give students the slope of a line and a point that the line passes through.
The other format for straight-line equations is called the "point-slope" form. For this one, they give you a point (x 1, y 1) and a slope m, and have you plug it into this formula: y – y 1 = m (x – x 1). Learn how to find the slope-intercept equation of a line from two points on that line. Oct 17, · This video explains how to determine the equation of a line in slope intercept form given various information about the line.
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where m is the slope of the line and b is the y-intercept of the line, or the y-coordinate of the point at which the line crosses the y-axis. To write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope.Download