The slope-intercept form has the slope, m, and the y-intercept, b, on the right-hand side of the equation. Since this is a useful form, you’ll often be asked to convert an equation from standard form to slope-intercept form. So let’s show you how to do this.
What is linear equation?
A linear equation is the equation of a line on a graph. Linear equations come in different forms, like point-slope form and slope-intercept form. Let’s explain each of these forms. Standard form: Writing an equation in standard form makes it easier to find the x and y-intercepts, which is where the graph crosses the x- and y-axis.
What is the standard form of an equation?
The standard form equation is a linear equation that contains two variables, usually (but not limited) to x-terms and y-terms, that are on the same sides of the equation: Ax + By = C.
What does equivalent ratio mean?
Equivalent ratios mean that two numbers have the same proportion to one another …
Basic laws of Exponents and powers
When two exponential values with the same base are put into multiplication, then the powers are added.
Slope
The slope is the rate of change of y with respect to x. It simply means the slope is the rate of change of one given variable with respect to the other. The slope of a line in a linear equation can be determined by putting the equation in slope-intercept form.
Sample problems
Question 1: Put the following linear equation 6x + 2y = 24 in slope-intercept form.
Using the slope formula
Let's use the slope formula to find the slope of the line that goes through the points and .
Using the slope formula walkthrough
Let's use the slope formula to find the slope of the line that goes through the points and .
Let's practice!
1) Use the slope formula to find the slope of the line that goes through the points and .
10 hours ago
· The standard form of a linear equation is Ax + By = C. When we want to find the slope of the line represented by this equation, we have two options.
13 hours ago
· How to convert slope into standard form? Solution: The standard form of a linear equation is given by. Ax + By = C. Where, A, B, and C are constants. As mentioned …
3.Determine the slope and y intercept from an equation in …
Url:https://www.youtube.com/watch?v=RZAMCkaw8Nw
10 hours ago
Let's use the slope formula to find the slope of the line that goes through the points and . Step 1: Identify the values of , , , and . [Explain] Step 2: Plug in these values to the slope formula to …
24 hours ago
· The standard form of such an equation is Ax + By + C = 0 or Ax + By = C. When you rearrange this equation to get y by itself on the left side, it takes the form y = mx +b. This …
16 hours ago
· By looking at the points, we can tell that the line is vertical at the y-axis. To prove this, let's find the slope: −12 −( − 7) 0 −0 = − 5 0. Noting can be divided by 0, so the slope is …
25 hours ago
· How do you put slope into standard form? The standard form of such an equation is Ax + By + C = 0 or Ax + By = C. When you rearrange this equation to get y by itself …
32 hours ago
· Use two points to calculate the slope, then plug in and solve for the y-intercept. What is the slope in standard form? The standard form of a linear equation is Ax + By = C. …