How to graph the equation

Question

-x - 2y=8?

Answer 1

Write the equation in slope-intercept form y = mx + b, where m is slope and b is y-intercept.

The equation is - x - 2y = 8

Add x to each side

-2y = x + 8

Divide each side by -2

y = - x/2 -4

Compare the equation with slope-intercept form y = mx + b.

slope = -1/2 and y-intercept is -4.

y-intercept is -4, so the line crosses the y-axis at (0, -4)

Using slope find the next point.

Slope = rise/run = -1/2

Start at point (0, -4), move 1 units down and 2 units right, then plot the point (2, -5).

Draw a line through these points.