Given linear equation y = 6 − 7x 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.

Harlen Pritchard

Harlen Pritchard

Answered question

2021-01-04

Given linear equation y = 6 − 7x
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 & Explanation

Arham Warner

Arham Warner

Skilled2021-01-05Added 102 answers

(a) The linear equation is y=67x.
In a linear equation y=b0+b1x the constant b1 be the slope and b0 be the y-intercept form and x is the independent variable and y is the independent variable.
Comparing the given equation with the general form of linear equation the slope of the equation is –7 and the y-intercept is 6.
Thus, the slope of the linear equation is b1=7 and the y-intercept is b0=6.
(b) In a linear equation y=b0+b1x the constant b1be the slope and b0 be the y-intercept form and x is the independent variable and y is the independent variable.
It is known that, the slope of the linear equation y=b0+b1x is upward if b1>0, the slope of the linear equation y=b0+b1xy=b0+b1x is downward if b1<0 and the slope of the linear equation y=b0+b1x is horizontal if b1=0.
Thus, in the given equation y=67x,b1=7<0.
Thus, the slope is downward.
(c) The linear equation is y=67x.
Graph the line:
The two points x1,y1  and  x2,y2 on the given line are obtained:
If x= 0,
y=6+(7×0)
y=6
Thus, one point on the line is x1,y1=0,6.
If x= 1,
y=6+(7×1)
y=1
Thus, the second point on the line is x2,y2=1,1.
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