Example 2. Find the equation of a line passing through two points M(1, 3) and N(2, 3). Solution. It is impossible to use Equation of the line passing through two different points, since My - Ny = 0. Find the Parametric equations of this line. We use MN as direction vector of...
Let AB be a straight line parallel to x-axis at a distance b units from it.Then, clearly, all points on the line AB have the same ordinate b. Thus, AB .can be considered as the locus of a point at a distance b from x-axis and allpoints on the line AB satisfy the condition y...
24 The equation of a straight line is 3y + 2x + 6 =0.Find(a) the gradient of the line,Answer[1](b) the coordinates of the point where the line intersects the y-axis,(0,-2)Answer (...,...) [1](c) the coordinates of the point at which the line intersects the line y=...
So far we have seen that a straight line can be described as a line with a constant gradient and we know how to find the gradient of any particular line from a graph of the line. In this section we shall look more closely at the co-ordinates of points on a straight line to see ...
There are 3 steps to find the Equation of the Straight Line :1. Find the slope of the line 2. Put the slope and one point into the "Point-Slope Formula" 3. SimplifyStep 1: Find the Slope (or Gradient) from 2 PointsWhat is the slope (or gradient) of this line?
To find the equation of a line when given two points on the line, we first find the slope and then find they-intercept. Theslopeis the ratio of the change in the y-value over the change in the x-value. Given any two points on a line, you can calculate the slope of the line by...
The simplest way to find the equation of a straight line depends on what information you have been given.Given the gradient, m, and the co-ordinates (x_1,y_1) of one point on the line Take a general point (x,y) on the line, as shown in figure.The gradient, m, of the line ...
7. a) Find the equation of the line which is perpendicular to the line y=2x+ 1 and passes through (3,3).b) Find the exact coordinates of the point of intersection of the line you found in part a) and the line y=2x+1This distance is the perpendicular distance c) Hence find, ...
2.3 Find the equation of a line 2.3Findtheequationofaline 1.Given‘m’and‘c’•Eg1.Findtheequationofalinewithagradientof-3andy-interceptof10Solution:m=-3c=10 Lety=mx+c•y=-3x+10 2.Given‘m’andapointontheline(x1,y1)•Eg2.Findtheequationofalinewithagradientof-3andpassingthrough...
Vector Equation of a Line We can use vectors to create the vector equation of a line. In order to create the vector equation of a line we use the position vector of a point on the line and the direction vector of the line. In order to find the direction vector we need to understand...