Question

use intercepts to graph the equation. 4x - 2y + 4 = 0 use the graphing tool to graph the line. use the intercepts when drawing the line. if only one intercept exists, use it and another point to draw the line. click to enlarge graph

Explanation:

Step1: Find the x - intercept

Set \(y = 0\) in the equation \(4x-2y + 4=0\). Then \(4x+4 = 0\), which simplifies to \(4x=-4\), and \(x=-1\). So the x - intercept is the point \((-1,0)\).

Step2: Find the y - intercept

Set \(x = 0\) in the equation \(4x-2y + 4=0\). Then \(-2y+4 = 0\), which simplifies to \(-2y=-4\), and \(y = 2\). So the y - intercept is the point \((0,2)\).

Step3: Plot the points and draw the line

Plot the points \((-1,0)\) and \((0,2)\) on the coordinate - plane and draw a straight line passing through them.

Answer:

Plot the x - intercept \((-1,0)\) and y - intercept \((0,2)\) and draw a line through them.