Question

Graph the linear equation

Answer 1

Https://us-static.z-dn.net/files/d4c/b1c4613c4e210c04f4bcda5810cab46d.png

Answer 2

Since it's a linear graph, the graph will cut the x and y-axis once and once only.
Now, we can find where the x and y-intercepts are located.

x-intercept is found when we substitute y as 0.

$0 = \frac{1}{2}x + 2$
$-2 = \frac{1}{2}x$
$-4 = x$

Thus, we know that the point (-4, 0) will pass through the graph.

Now, similarly, to find the y-intercept, we let x = 0.

$f(0) = \frac{1}{2}(0) + 2$
$y = 2$

Thus, we know that the point (0, 2) will pass through the graph.
We also know it has a positive gradient, so just join the dots to find the graph's shape.
Refer to Herontewodros for the correct graph.