Question

please graph the following equation.
please graphic ( y=\frac{3}{4}x + 2 )
to graph:

1. click on the rectangle below that lays line a to make your line appear.
2. move the two points on your graph to create your line.

line a

Explanation:

Step1: Find the y - intercept

The equation is in the form \(y = mx + b\), where \(b\) is the y - intercept. For \(y=\frac{3}{4}x + 2\), when \(x = 0\), \(y=2\). So one point is \((0,2)\).

Step2: Use the slope to find another point

The slope \(m=\frac{3}{4}\). From the point \((0,2)\), using the slope formula \(m=\frac{\Delta y}{\Delta x}\), if \(\Delta x = 4\), then \(\Delta y=3\). So another point is \((0 + 4,2+3)=(4,5)\).

Step3: Plot the points and draw the line

Plot the points \((0,2)\) and \((4,5)\) on the coordinate plane and draw a straight line passing through them.

Answer:

Plot the points \((0,2)\) and \((4,5)\) and draw a line through them to graph \(y = \frac{3}{4}x+2\).