Use slope to determine if the following lines are parallel, perpendicular, or neither.
1 answer:
Answer:
The lines are parallel, with the same slope of 5.
Step-by-step explanation:
Remember that if slopes are the same, then the lines are parallel. If the slopes are opposite reciprocals, they are perpendicular. If they are neither of those cases, then they would be neither.
1) Since y = 5x + 1 is already in slope-intercept format (y = mx + b, in which m represents the slope) we know that 5 is the slope of that equation.
2) To find the slope of -5x + y = 6, let's just convert it to the slope-intercept format by isolating y on the left side like so:
(All you need to do is move -5x to the right side of the equation.) So, by looking at y = 5x + 6, we can do the same thing we did from step 1 and find that the slope is 5.
3) Since both of the equations' slopes are 5, they share the same slope - therefore, they are parallel.
Hope this helps! Please do not hesitate to ask any questions.
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Using the slope concept, it is found that the shuttle traveled 3.2 miles while Marion was watching.
<h3>What is a slope?</h3>The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.
Initially, the angle of elevation is of 16º, with an elevation of 1 mi, hence:
Then, at the end, the angle will be of 74º, with the elevation remaining constant, hence:
The distance is:
The shuttle traveled 3.2 miles while Marion was watching.
More can be learned about the slope concept at brainly.com/question/18090623