Question

Given linear equation y = -8-4x
a. find the y-intercept and slope.
b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.
c. use two points to graph the equation.

Answer 1

(a) Given linear equation is y= -8-4x.
Thus,
Intercept = -8
Slope = -4
(b) The slope is upward if slope > 0.
The slope is downward if slope < 0.
The slope is horizontal if slope = 0.
Here, slope of the line is -4, therefore slope is downward.
(c) The line is y= -8-4x.
If x=0 then y=-8.
If x=1 then y=-12.
Consider the points (0,-8) and (1,-12)
The graph for the line with the given equation with the obtained points is given below: