Method 2: If the coordinates of two points on the same line are given, we can easily find the slope by finding the ratio of the difference between the coordinates of the y-axis to the difference between the coordinates of the x-axis. Let us say that our line is inclined at an angle of ‘a’ from the x-axis then, Method 1: If you know at what angle the line is inclined from the x-axis, you can find the slope by using simple trigonometry. You might find this one a tricky concept, but once you understand it, you will excel in finding the slopes of straight lines. The equation of the given line is calculated using the slope-intercept formula.Īnswer: The given line’s equation is y = (1/7) x – 9. To find the equation of a given line, perform the following steps:
Using the slope-intercept form, determine the equation of a straight line with a slope of 1/7 and a y-intercept of (0, -9). Step 2: Construct the slope form equation and enter the values. If the y-intercept is 8 and the slope is 3, find the straight-line equation. What is the equation of the line?Īnswer: y = (7) x + 0 => y = 7x What is the equation of the line?Įxample 2: The slope of line XY is (7), and the line passes from the origin.
Slope intercept form how to#
To ease all the theoretical knowledge mentioned above, let us look at some of the examples of slope-intercept form and learn how to write an equation in slope-intercept form.Įxample 1: The slope of a line XY is (-1), and the y-intercept is (10). ‘k’ is the ‘y’ intercept which has been talked about earlier.‘m’ is defined as the slope of the line, and.
They are the reason why this term is an equation.
Y = mx + k, or you can use any variable in place of these terms, but remember that: In mathematics, the slope-intercept formula is given as : Now, we are confirmed that the slope-intercept form of a straight line is a neat and simplified way to find the equation of a line. If the coordinates don’t satisfy the equation, then they are not the coordinates of that line. Note: If the coordinates of the lines satisfy or agree with the equation, then the coordinates are correct. In this article, you will learn the slope-intercept form, what is slope-intercept form, slope-intercept form equation, how to find slope-intercept form, how to write an equation in slope-intercept form, and the slope-intercept form of a linear equation. The other four forms or methods of solving a linear equation are listed below: If you try to solve an equation like x = 2a 3 + y, it might turn a bit tricky, and there’s a probability of getting errors by slope-intercept form. You should also be confident about what are the y-intercept, x-intercept, and slope characteristics of linear equations.
You should be aware that the graph of such equations is a straight line. You should be familiar with two-variable linear equations. This means that x = x1 and y = y1.Īlso, this confirms that the slope-intercept form can be applied only to linear equations. This standard equation of a straight line defines that the x and y variables have a maximum power of unity. Straight lines are generally represented as y = mx+c. The slope-Intercept form is among the four other methods to determine the equation of any straight line.
0 kommentar(er)
