Given linear equation y = 0.5x – 2 a. find the y-intercept and slope. b....

necessaryh

necessaryh

Answered

2020-11-05

Given linear equation y = 0.5x – 2
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

casincal

casincal

Expert

2020-11-06Added 82 answers

(a) y-intercept and slope: 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 dependent variable. Comparing the given equation with the general form of linear equation the slope of the equation is 0.5 and the y-intercept is –2. Therefore, the y-intercept is –2 and the slope of the linear equation (b_1) is 0.5. (b) It is known that, the slope of the linear equation y=b0+b1x is upward if b_1 > 0, the slope of the linear equation y=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=0.5x2,b1 is 0.5, which is greater than 0.
Thus, the slope is upward.
(c) Graph by using two points:
The two points (x1,y1)and(x2,y2) on the given line are obtained as follows:
If x=0
y=(0,5×0)2
y=-2
Thus, one point on the line is (x1,y1)=(0,2)
If x=4,
y=(0.5×4)2
y=0
Thus, the second point on the line is (x2,y2)=(4,0)
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