Write in slope intercept form of the equation of a line passing through (-1,4) and perpendicular to y=x-5.
1 answer:
Answer:
y=-x+3
Step-by-step explanation:
The general slope-intercept equation of a line is y=mx+b where m is the slope and b represents the y intercept. y and x are simply a point the line passes through. In this case, y=x-5, meaning m=1 and b=-5.
In order to find the perpendicular slope, we should take the current slope's <u>negative reciprocal</u>. We have:
Therefore, our perpendicular slope is -1. We now have equation:
We can plug in the known values of the point (-1,4) to solve for b.
If we now put what we found together, we have equation
<em>I hope this helps! Let me know if you have any further questions :)</em>
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By using any two of the points in the table, we will see that the slope is -2.
<h3>How to get the slope for the linear relationship?</h3>
A general linear relationship is:
y = a*x + b
Where a is the slope and b is the y-intercept.
Remember that if the line passes through (x₁, y₁) and (x₂, y₂), the slope is:
Here we can use the first two points on the table:
(-4, 11) and (2, -1), so the slope is:
Then the slope of the line is -2.
If you want to learn more about linear relationships:
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