Question

1. graph 3x - 4y = 16 by using the x- and y-intercepts.

Explanation:

Step1: Find the x - intercept

Set \(y = 0\) in \(3x-4y=16\). Then \(3x-4\times0 = 16\), so \(3x=16\), and \(x=\frac{16}{3}\approx5.33\). The x - intercept is the point \((\frac{16}{3},0)\).

Step2: Find the y - intercept

Set \(x = 0\) in \(3x - 4y=16\). Then \(3\times0-4y=16\), so \(-4y=16\), and \(y=- 4\). The y - intercept is the point \((0,-4)\).

Step3: Graph the line

Plot the points \((\frac{16}{3},0)\) and \((0,-4)\) on the coordinate - plane and draw a straight line passing through them.

Answer:

Plot the points \((\frac{16}{3},0)\) and \((0, - 4)\) and draw a line through them.