Question

1. 3x + 4y = 8

Explanation:

Step1: Find x - intercept

Set \(y = 0\) in the equation \(3x+4y = 8\). Then \(3x=8\), so \(x=\frac{8}{3}\approx2.67\). The x - intercept is the point \((\frac{8}{3},0)\).

Step2: Find y - intercept

Set \(x = 0\) in the equation \(3x + 4y=8\). Then \(4y=8\), so \(y = 2\). The y - intercept is the point \((0,2)\).

Step3: Plot the points and draw the line

Plot the points \((\frac{8}{3},0)\) and \((0,2)\) on the coordinate - plane and draw a straight line passing through them.

Answer:

The graph of the line \(3x + 4y=8\) has x - intercept \((\frac{8}{3},0)\) and y - intercept \((0,2)\) and is a straight line passing through these two points.