We give linear equations. For each equation, 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. y=−1+2x

We give linear equations. For each equation, 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. y=−1+2x

Question
Linear equations and graphs
asked 2020-11-17
We give linear equations. For each equation,
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.
y=−1+2x

Answers (1)

2020-11-18
a. The y-intercept is the constant in the linear equation:
-1
The slope is the coefficient of x in the linear equation:
2
b. If the slope is positive, then the graph slopes upwards. If the slope is negative, then the graph slopes downwards. If the slope is 0, then the graph is horizontal.
Slope > 0 \(\displaystyle\Rightarrow\) Slopes upwards
c. Evaluate the given equation for two values of x.
Graph the two points.
Draw a line through the two points:
image
Results:
a.-1,2
b.Slopes upwards
c.See graph
0

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