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.
This form is known as the Slope Intercept Form and it is a most useful form as it immediately shows two important things about any straight line when graphed on a Cartesian plane; the slope m, and the y-intercept b. There are other forms of the equation of a straight line and the examples below will show how to convert from these to the slope intercept form.
There is more here on the slope of a line so we will start by looking at the y-intercept. The y-intercept The y-intercept is the point at which a straight line intersects the y-axis. At this intersection point the value of x is always 0 so the y-value can be found algebraically simply by substituting 0 for x in the equation that represents the line as the example below shows.
Try the graph generator with different values for the y-intercept and the slope too if you wish to see the effect on the line.
Enter slope m and y-intercept b below then click Draw Line Slope m: Click Draw Line to graph the equation Finding the y-intercept As shown earlier, finding the y-intercept is straightforward if the equation of the line is given in slope intercept form.
If the equation is given in a different form then it can require additional steps as the two examples below show: Two benefits of the slope intercept form is that both the slope m and the y-intercept b are immediately obvious. Let us convert the example above from standard form to slope intercept form: Converting to Slope Intercept Form Example 1.The graph of such a linear function is thus the set of the solutions of this linear equation, which is a line in the Euclidean plane of slope and -intercept.
Since a variable with a zero coefficient simply does not appear in the equation, it is also not possible to isolate this variable.
A linear equation, written in the form y = f(x) whose. Sometimes the directions will say to write the equation in the slope/intercept form. Basically this means to solve the equation for urbanagricultureinitiative.com how y is by itself and everything else is on the other side.
Most times you will need to start the problem using the point/slope form and then you just solve for y to get it into the slope/intercept form. g) Re-write your equation from part e in slope-intercept form. h) If line b is shifted down 3 units, what is the equation of the new line?
i) If line b is shifted to the right 4 units, what is the equation of the new line? ©d 82P0k1 f2 T 1K lu9t qap 2S ho KfZtgw HaTrte I BL gLiCQ.e R xA NlOlh JrKi0gMh6t8sq YrCenshe Rr8vqeed Y JMGapdQeX TwGiRt VhW 8I 2n fDiPn 8iDtEep QAVlVgue3bjr vaV Y Write an equation in slope-intercept form of the line that passes through the given point and has the given slope m.
Then, rewrite in standard form. (-6,3), m = 2/3. Improve your math knowledge with free questions in "Slope-intercept form: write an equation" and thousands of other math skills.