Given linear equation y = 3+4x 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 = 3+4x 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.

Question
Linear equations and graphs
asked 2020-11-02
Given linear equation y = 3+4x
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.

Answers (1)

2020-11-03
The provided linear equation is y = 3 + 4x. The general form of the linear equation is \(\displaystyle{y}={b}_{{0}}+{b}_{{1}}{x}.\)
(a). On comparing the provided linear equation with the general form of the equation, the y-intercept, \(\displaystyle{b}_{{0}}\) is 3 and the slope, \(\displaystyle{b}_{{0}}\) is 4.
(b). The slope of the line is +4, so the gradient is +4. The slopes upward as the line moves from left to right.
(c) Considering the provided equation, the values for x=0 and y=0 is obtained as:
image
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