The slope of a line can be calculated using the following formulas: When coordinates are given: Step 1: Find the coordinates of the line. Step 2: Put their values in the formula, (m) = (y2- y1)/(x2- x1) When angle is given: ...
The formula for calculating slope is represented as m = (y2 – y1) / (x2 – x1), where (x1, y1) and (x2, y2) are the coordinates of two points on a line. This formula is used to determine the steepness or incline of a line by finding the change in vertical distance divided...
In slope-intercept form,y=mx+b,brepresents they-intercept of the line. That is,bis the value on they-axis where the line intercepts they-a... Learn more about this topic: Slope-Intercept Definition, Formula & Graphs from Chapter 8/ Lesson 28 ...
The equation looks like y-y1=m(x-x1). To understand this problem, we will need to break it down. By looking at it we know that we need one set of coordinates, which we are given with (-4,-7). We also need the m value which is just the slope so ...
The slope at at point (-1, 0) is m = 4(-1) + 3 = -1 Answer:Hence the slope of the tangent at the given point is -1 Example 4:Differentiate x tan x. Solution: Byproduct rulefrom in differential calculus, d/dx (x tan x) = x (d/dx (tan x)) + tan x (d/dx (x)) ...
A visual for the Midpoint Formula The lines through P1and P2,parallelto the y-axis intersect the x-axis at A1(x1,0) and A2(x2,0). The The midpoint through M parallel to the y-axis bisects the segment A1A2at point M. M1is halfway form A1to A2, the x-coordinate of M1is: ...
The slope of the indifference curve is convex. Curves plotted higher and farther to the right correspond with higher levels of utility. Various indifference curves can never cross or overlap. The Bottom Line An indifference curve is a tool used in economics and business. Each point on the curve...
The plinth area length of a flat should be calculated to adjacent 1 inch if the measuring unit is in feet. The plinth area length of a flat should be computed adjacent to 0.01 m and the area should be rounded to 0.01 m2. When we estimate the plinth area of a flat the following area...
The MRS is the slope of the indifference curve at any given point along the curve and displays a frontier of utility for each combination of "good X" and "good Y." When the law of diminishing MRS is in effect, the MRS forms a downward, negative sloping, convex curve showing more consu...
In that way, m is the slope and is a constant value, and b is the y-axis intercept. To derive the slope, we need to know the coordinates of two points P(x1,y1) and Q(x2,y2) by which they pass through the line and then divide the subtraction of y-axis coordin...