Another form in which we can give the equation of a straight line is the point–slope form, 𝑦 minus 𝑦 one equals 𝑚 multiplied by 𝑥 minus 𝑥 one, where 𝑚 represents the slope of the line as before and 𝑥 one, 𝑦 one represents the coordinates of any point that lies ...
A mathematical expression known as theequation of a straight linedescribes the relationship between thecoordinates of pointson a straight line in a Cartesian plane. There are several forms of the equation of a straight line, including the slope-intercept form,point-slope form, andstandard form. Ke...
Start with the "point-slope" formula (x1 and y1 are the coordinates of a point on the line):y − y1 = m(x − x1)We can choose any point on the line for x1 and y1, so let's just use point (2,3):y − 3 = m(x − 2)...
What is the slope of a straight line or how steep is a line? While all these questions may not be as intimidating as they seem, sometimes students who are studying lines for the first time may have a hard time calculating distance. The reason is that they may not have any idea of wha...
Therefore, for finding out the equation for a curve between two points, we need to substitute the coordinates of the two points into the general equation of the curve. For instance, let us take the curve to be a straight line. We know that the general equation for ...
A horizontal line is a straight line that is drawn from left to right or right to left and it is parallel to the x-axis in the coordinate plane. A horizontal line has an intercept only on the y-axis and not on the x-axis.
Find the equation of the straight line joining the origin to the point of intersection ofy−x+7=0andy+2x−2=0. Prove that the straight lines joining the origin to the points of intersection of the straight linehx+ky=2hkand the curve(x−k)2+(y−h)2=c2are at right angle if...
Answer to: By using the concept of the equation of the straight line, prove that the given three points are collinear. (1, 4), (3, -2) and (-3, 16)...
How to Find the Equation of a LineWhen working with lines, it’s possible to express the line using an equation/function or by plotting on a graph. When expressing a line using an equation, the equation allows you to find the Cartesian coordinates for any point on the line, which you ...
What are the steps to solve the point slope form of a line? We can follow the steps below to solve point slope form for a given straight line and find the equation of the given line. Step 1: Write down the slope of the straight line, ‘m’, and the coordinates \( (x_1, y_1...