And the intercept is b! Substitute in known values for m and b 4. Re-write the equation 5.
Introduction Straight lines are produced by linear functions. That means that a straight line can be described by an equation that takes the form of the linear equation formula.
In the formula, y is a dependent variablex is an independent variablem is a constant rate of changeand b is an adjustment that moves the function away from the origin.
In a more general straight line equation, x and y are coordinates, m is the slopeand b is the [y-intercept]. Because this equation describes a line in terms of its slope and its y-intercept, this equation is called the slope-intercept form. Slope Intercept Formula The graph below represents any line that can be written in slope intercept form.
It has two slider bars that can be manipulated. The bar labeled m lets you adjust the slope, or steepness, of the line. The bar labeled b changes the y-intercept. Try sliding each bar back and forth, and see how that affects the line.
That was fun, eh? You should have noticed that changing the value of m could swivel the line from horizontal to nearly vertical and through every slope in between. As m, the slope, gets larger, the line gets steeper.
When m gets smaller, the slope flattens.
Changing the value of b moved the line around the coordinate plane. A positive y-intercept means the line crosses the y-axis above the origin, while a negative y-intercept means that the line crosses below the origin.
Simply by changing the values of m and b, we can define any straight line. How is the x-intercept represented in the slope intercept form of a linear equation? A It is represented by x. B It is represented by m. C It is represented by b. D It is not represented.
The slope intercept form of a linear equation is based on the slope and the y-coordinate at the y-intercept. The correct answer is that it is not represented. From Graph to Equation Now that we understand the slope intercept form, we can look at the graph of a line and write its equation just from identifying the slope and the y-intercept.Find a equation of the line having the given slope and containing the given point.
m=5,(3,2) the equation of the line in slope intercept form is y= 4. Find a equation of the line having the given s .
` ` To write an equation in slope intercept form (y=mx + b) for the line that passes through the points (0, -2) and (4, 2), we must find determine the slope and y-intercept of the line.
Sometimes the directions will say to write the equation in the slope/intercept form. Basically this means to solve the equation for timberdesignmag.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.
Finding the Equation of a Line Given Two Points – Notes Page 2 of 4 Step 3: Write the answer. Using the slope of 3 and the y-intercept of 1, the answer is: y = 3x + 1. Apr 04, · m right here ability the slope to that end that's because of the fact of this u have the -3x interior the answer.
the intercept is 0, meaning that the line crosses the graph the place y is -2 and x is 0. we continually positioned the y intercept interior the equation besides.
so because of the slope of -3 and the y intercept given of -2 the equation turns into y=-3x we practice Status: Resolved.
The Slope-Intercept Form OBJECTIVES 1. Find the slope and y intercept from the equation of a line 2. Given the slope and y intercept, write the equation of a line 3. Use the slope and y intercept to graph a line In Chapter 6, we used two points to ﬁnd the slope of a line.
In this chapter we will use the.