cistG

2020-12-06

Given linear equation y = -3x

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.

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.

Nathanael Webber

Skilled2020-12-07Added 117 answers

(a) In given example,

y-intercept$={b}_{0}=0$

Slope$={b}_{1}=-3$

(b) When slope is positive then line slope will show upward in a graph. When slope is negative then line slope will show downward in a graph.

Here, slope is -3 which is negative. Hence, line slopes will be downwards in a graph.

(c) Linear regression equation is, y = -3x

Suppose x = 0 then y =0

If x = 1 then y = -3

Therefore, two points are (0,0) and (1,-3)

Following is the graph for above two points:

y-intercept

Slope

(b) When slope is positive then line slope will show upward in a graph. When slope is negative then line slope will show downward in a graph.

Here, slope is -3 which is negative. Hence, line slopes will be downwards in a graph.

(c) Linear regression equation is, y = -3x

Suppose x = 0 then y =0

If x = 1 then y = -3

Therefore, two points are (0,0) and (1,-3)

Following is the graph for above two points: