(SHOW WORK) Write the slope-intercept form of the equation:
1 answer:
Answer:
Step-by-step explanation:
We want to find the slope-intercept form of the equation that passes through the point (-2, 3) and is perpendicular to the line:
Note that this line has a slope of 1/4.
Recall that the slopes of perpendicular lines are negative reciprocals of each other.
Since the slope of our old line is 1/4, the slope of its perpendicular line must be -4.
We are also given that it passes through the point (-2, 3). So, we can consider using point-slope form:
Let (-2, 3) be (<em>x₁, y₁</em>) and substitute -4 for the slope <em>m</em>. Hence:
Convert into slope-intercept form. Simplify:
In conclusion, the perpendicular line that passes through the point (-2, 3) is given by:
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4.
5. In the first case -b=20, so b=-20. In the second case, -b=-20, so b=20.
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2. For example
3. Thus
4.
5. In the first case -b=20, so b=-20. In the second case, -b=-20, so b=20.
6. b∈{-20, 20}