A graph of the linear function 4x − 8y = 16 with its intercepts is shown in the image attached below.
In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + b
Where:
- m represent the slope or rate of change.
- x and y are the points.
- b represent the y-intercept or initial value.
Since the given linear function 4x − 8y = 16 is in standard form, we would rewrite it in slope-intercept form and then start by plotting the y-intercept:
8y = 4x - 16
y = 1/2(x) - 2
y = 1/2(0) - 2
y = -2
For the x-intercept, we have:
0 = 1/2(x) - 2
x = 2 × 2
x = 4
Next, we would use an online graphing tool to plot the given linear function for the values in its domain using table, as shown in the graph attached below.