(a) y-intercept and slope: In a linear equation , the constant be the slope and 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 is upward if b_1 > 0, the slope of the linear equation is downward if , and the slope of the linear equation is horizontal if .
Thus, in the given equation is 0.5, which is greater than 0.
Thus, the slope is upward.
(c) Graph by using two points:
The two points on the given line are obtained as follows:
Thus, one point on the line is
Thus, the second point on the line is