Question
Suppose you are given the equation
. If Y is on the vertical axis and X is on the horizontal axis, then the slope
is and the vertical intercept is
is and the vertical intercept is
Ask by Vaughan Garza. in the United States
Jan 15,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The slope is
and the y-intercept is
.
Solution

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Bonus Knowledge
The slope of the equation
is actually
, which indicates that for every unit increase in
,
decreases by a quarter unit. The vertical intercept is
, meaning that when
,
takes the value 5; this is where your line hits the Y-axis.
Understanding slopes and intercepts is crucial for graphing linear equations. When plotting the line, start at the intercept
on the Y-axis, then for each unit you move to the right on the X-axis, step down a quarter unit to stay true to the slope of
. This simple visualization technique helps in quickly sketching the line and understanding its behavior!