Slope & Equations of Lines Worksheets

What does the equation of line tells you? Very often, linear equations observe a few changes in them over the course of time. These equations represent how a change occurs in something (showed on vertical axis) as time changes (represented on horizontal axis). Back when we were first graphing straight lines, we saw that the slope of a given line measures how much the value of y changes for every so much that the value of x changes. The equation of a straight line is represented by 'y = mx + b', where m is the slope of a straight line multiplied with x and b is the y-intercept (the point at which the line intersects the y-axis). This form or equation that you get is called the 'slope-intercept form'. It sensibly represents the steepness and y-intercept of the line - apparently defining them in a single equation. Therefore, the equation of line is clearly a representation of changes occurring in the straight line over a specified period of time.

Here's an interesting tidbit of trivia:

When Srinivasa Ramanujan, the great Indian mathematician, was ill with tuberculosis in a London hospital, his colleague G. H. Hardy went to visit him. Hardy, trying to initiate onversation, said to Ramanujan, "I came here in taxi-cab number 1729. That number seems dull to me which I hope isn't a bad omen."