Given linear equation y = 1.5x 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 = 1.5x
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.
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The provided linear equation is y = 1.5x. The general form of the linear equation is $y={b}_{0}+{b}_{1}x.$
1. On comparing the provided linear equation with the general form of the equation, the y-intercept, ${b}_{0}$ is 0 and the slope, ${b}_{1}$ is 1.5.
2. The slope of the line is +1.5, so the gradient is +1.5. The slopes upward as the line moves from left to right.
3. Considering the provided equation, the values of y for x = –6 and 6 is obtained as: