Convert 11/3 to a mixed number
2 answers:
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Notice that for this question, they are providing you with:
1) The slope of the line (4)
2) a point on the plane through which the line goes (6, -2)
So you can directly use for this the "point-slope" form of a line which is as follows:
This includes m as the slope, and the pair (x0, y0) as the pair representing the point the line goes through.
So, let's use the info they gave you to complete this:
which we can work out a little more:
And even a little more to finish the equation of the line in its standard slope-intercept form:
So the equation of the line is:
Answer:
Step-by-step explanation:
<u>Slope-intercept form of a linear equation:</u>
where:
- m is the slope.
- b is the y-intercept.
<u>Rearrange</u> the given equation so that it is in <u>slope-intercept form</u>:
Therefore, the slope of the given equation is -⁵/₇.
If two lines are <u>perpendicular</u> to each other (at right angles), the <u>product of their slopes</u> will be -1. Therefore, their slopes will be negative reciprocals of each other.
Therefore, the slope of the line perpendicular to the given equation is:
<u>Substitute</u> the found <u>slope</u> and the <u>given point</u> (6, -5) into the <u>slope-intercept formula</u> and solve for b:
<u>Substitute</u> the found slope and the found value of b into the <u>slope-intercept formula</u> to create the equation for the <u>perpendicular line</u>:
Learn more about slope-intercept form here:
