Question

“Draw the graph of the line with equation y=3/4x-2”

Can someone please tell me how to draw this graph

Answer 1

Explanation:

You have multiple ways, all revolving around finding 2 points.

The easiest point to use is the y intercept (the value of y when x=0), and is the constant term, giving you
`(0; -2)`

The second point can be found in a number of ways:

• Look for the x intercept (when y=0), and you will get some point by solving for x;
• put any value of x you haven't used so far (ie, 0), compute it, and you will find a second point.
• plug a "smarter" value of x that will make computation easy: in this case you have a fraction, so I would pick the denominator to simplify: (you got
  `\frac34`, so
  `x=4 \rightarrow y=\frac34(4)-2 = 3-2=1` giving a second point
  `(4;1)`)
• since the equation is in slope-intercept form, Just remember the slope tells you how many vertical units you move (numerator) when you move right the number of units in the denominator, with the sign telling you up or down: in our case you move 3 up (since it's positive) every 4 "steps" right.

In any case, the graph will look something like the one in the image