The slope of a line is found by the ration of difference in y-coordinates to the difference in x-coordinates. An example for slope intercept form equation is y = 3x + 5 What is a Line With a Negative Slope?Ī line for which the slope in negative is said to move from left to right in a graph. Here 'm' is the slope of the line and 'b' is the point at which the line intercepts the y - axis. The equation of a straight line which is of the form y = mx + b, is called the slope intercept form. The formula to find the slope of a line is m = (y 2-y 1)/(x 2-x 1) What is Slope-Intercept Form? How to Find the Slope of a Line?įor two coordinates, (x 1,y 1) and (x 2, y 2), the slope of a line is the ratio of difference between the difference between the y coordinates and the difference between x coordinates, also known as the rise over the run. 'm' is referred to as the slope of the line, and 'b' refers to the 'y -intercept' of the line. It is called as the slope intercept form. ![]() Y = mx + b is a representation of equation of a straight line. The slope intercept form of the line is y = - 2 x + 2. Substituting the given values in the slope-intercept form equation we get, 4 = (-2) (-1) + b. ![]() It is given that slope (m) = -2 and the coordinates through which the line is passing through is (-1,4). We know that the slope-intercept form of a line is y = mx + b. Let us derive the formula to find the value of the slope if two points \((x_ + b\)Īpplying, m =2 and b = 1 in the equation of the line(y = mx + b), we get y = 2x + 1 Thus the equation of the straight line is y = 2x + 1Įxample 2: Find the slope-intercept form of a line with slope -2 and which passes through the point (-1.4). Thus the formula to find m = change in y/ change in x We know that the equation for the slope of a line in the slope-intercept form is y = mx+b Let (x,y) be any other random point on the line whose coordinates are not known. ![]() Let us consider a line whose slope is 'm' and whose y-intercept is 'b'. Let's derive this formula using the equation for the slope of a line. Y = mx + b is the formula used to find the equation of a straight line, when we know the slope(m) and the y-intercept (b) of the line. To determine m, we apply a formula based on the calculations.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |