Given linear equation y = -0.75x-5 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 = -0.75x-5 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 2020-11-05
Given linear equation y = -0.75x-5
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)

2020-11-06
(a) \(\displaystyle{y}={b}_{{0}}+{b}_{{1}}{x}\)
where \(\displaystyle{b}_{{0}}\) is the y intercept
\(\displaystyle{b}_{{1}}\) is the slope
Slope = -0.75
y-intercept = -5
from the linear equation
\(\displaystyle{b}_{{0}}=-{5}\)
\(\displaystyle{b}_{{1}}=-{0.75}\)
(b) The slope is downward in graph. Because, the slope is negative value.
(c) Two point to graph:
image
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