Let's quickly review the steps for writing an equation given two points: Find the slope using the slope formula.
Find the slope and the y-intercept of the line. This example is written in function notation, but is still linear. As shown above, you can still read off the slope and intercept from this way of writing it. We can get down to business and answer our question of what are the slope and y-intercept.
In this form, the slope is m, which is the number in front of x. In our problem, that would have to be 2. In this form, the y-intercept is b, which is the constant.
A polynomial equation, also called algebraic equation, is an equation of the form + − − + ⋯ + + + = For example, + − = is a polynomial equation. When considering equations, the indeterminates (variables) of polynomials are also called unknowns, and the solutions are the possible values of the unknowns for which the equality is true (in general more than one solution may exist). This is called the slope-intercept form because "m" is the slope and "b" gives the y-intercept. (For a review of how this equation is used for graphing, look at slope and graphing.). I like slope-intercept form . To summarize how to write a linear equation using the slope-interception form you Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula.
In our problem, that would be The answer is the slope is 2 and the y-intercept is Note how we do not have a y. This type of linear equation was shown in Tutorial If you said vertical, you are correct.
The graph would look like this: Note that all the x values on this graph are 5. Well you know that having a 0 in the denominator is a big no, no.
This means the slope is undefined. As shown above, whenever you have a vertical line your slope is undefined. Looking at the graph, you can see that this graph never crosses the y-axis, therefore there is no y-intercept either.
Another way to look at this is the x value has to be 0 when looking for the y-intercept and in this problem x is always 5. So, for all our efforts on this problem, we find that the slope is undefined and the y-intercept does not exist.Write the point-slope equation of the line that passes through (7, 3) (7,3) (7, 3) left parenthesis, 7, comma, 3, right parenthesis whose slope is 2 2 2 2.
Explain Want to try more problems like this? Improve your math knowledge with free questions in "Slope-intercept form: write an equation from a graph" and thousands of other math skills. A line has a slope of negative 3/4 and goes through the point 0 comma 8.
What is the equation of this line in slope-intercept form? So any line can be represented in slope-intercept form, is y is equal to mx plus b, where this m right over here, that is of the slope of the line. Recall that the slope (m) is the "steepness" of the line and b is the intercept - the point where the line crosses the y-axis.
In the figure above, adjust both m and b . Writing Algebra Equations Finding the Equation of a Line Given Two Points. We have written the equation of a line in slope intercept form and standard form. We have also written the equation of a line when given slope and a point. Now we are going to take it one step further and write the equation of a line when we are only given two points that are on that line.
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. This is the value of m in the equation.
Next, find the coordinates of the y-intercept--this should be of the form (0, b).