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.

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.

Question
Linear equations and graphs
asked 2020-12-21
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.

Answers (1)

2020-12-22
(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:
image
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