Write an equation of line in slope intercept form

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.

Write an equation of line in slope intercept form

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.

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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.

write an equation of line in slope intercept form

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.

write an equation of line in slope intercept form

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.

How do I write the equation of a straight line?

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.

Write Equations in Slope Intercept Form - Algebra