Straight line graphs

Length of a line  Topic Icon
Length of a line

September 30, 2021

A line segment is a section of the straight line that connects two points. Unlike a line, it does not extend in both directions of infinity.  To calculate the length, use the distance formula between the two points.

ax + by + c = 0 Topic Icon
ax + by + c = 0

September 30, 2021

A straight line is represented by an equation of the form $$Ax+By+C=0$$.  In this case $$A$$, $$B$$ and $$C$$ are arbitrary constants. $$A$$ and $$B$$ cannot both be $$0$$ and $$x$$ and $$y$$ are variables. Divide the equation by $$B$$ and rearranging the terms yield,$$y=\frac{-A}{B}x+\frac{-C}{B}$$ Substitute $$\frac{-A}{B}=m$$ and $$\frac{-C}{B}=c$$ to get $$y=mx+c$$

y = mx + c Topic Icon
y = mx + c

September 30, 2021

Linear equations are equations that are of the first order. Linear equations are straight-line equations that have simple variable expressions with terms and without exponents. If we come across an equation with $$x$$ or $$y$$, it means we deal with a straight-line equation. If the slope of a line and $$y$$-intercept are given, we use the slope-intercept formula to find the equation of the line.

Gradient of a straight line Topic Icon
Gradient of a straight line

September 30, 2021

The gradient is the measure of the angle of a point of a straight line. A gradient can go upward, which means from left to right, or downward, which means from right to left. The gradient can be positive as well as negative, and it does not need to be a whole number.

Co-ordinates and scale Topic Icon
Co-ordinates and scale

September 30, 2021

The coordinates of two numbers or the Cartesian co-ordinates are located at a specific point on a grid known as the coordinate plane. The co-ordinates can be two numbers, or a number and a letter. 

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