And the intercept is b! Substitute in known values for m and b 4. Re-write the equation 5. Have students complete the you try 7.
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.
Graphing - Slope-Intercept Form Objective: Give the equation of a line with a known slope and y-inter- Once we have an equation in slope-intercept form we can graph it by ﬁrst plotting y-intercept = 5 Write the slope-intercept form of the equation of each line. 9) 11) 13) 10) 12) 14) 5. a Write the equation in slope intercept form The equation of a line is of the from MATH at University of Maryland, University College. Now he writes down the slope value in the general equation y = mx + c, and by substituting the sample value in the equation he obtains the value of the Y-intercept c, thus arriving at the equation of the final 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.Nov 12, · The y intercept is represented by "+3" or "b" in the equation of a line in slope intercept form is positive 3.
This means that the line intersects the y . Improve your math knowledge with free questions in "Find the slope of a graph" and thousands of other math skills.
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 .
The vertical line shown in this graph will cross the x-axis at the number given in the equation. For this equation, the x-intercept is.
Notice this line will never cross the y-axis. A vertical line (other than x = 0) will not have a y-intercept.
The line x = 0 is another special case since x = 0 is the equation of the y-axis. Now that you have these tools to find the intercepts of a line.
Now because the slope of the desired line must also be we can use the point-slope form to write the required equation: This simpliﬁes to and we have our equation in slope-intercept form.
y 3 4 x 6 y (3) 3 4 [x (4)] 3 4, y 3 4 x 3 and is parallel to the line with equation L has y intercept (0, 4) and is perpendicular to the line with.
Write the slope-intercept form of the equation of each line. 1) 3 x − 2y = −16 2) Write the point-slope form of the equation of the line described. 17) through: (4, 2), parallel to Writing Linear Equations Date_____ Period____ Write the slope-intercept form of the equation of each line.