Someone please quickly help me with this one
2 answers:
The two angles are same-side angles, which means they add up to 180 degrees based on the Same-Side Interior Angles Theorem. The Theorem states that a pair of angles on one side of the transversal line are supplementary angles.
Make the two angles add up to 180 in an equation.
(10x - 40) + 50 = 180
Combine like terms (-40 + 50).
10x + 10 = 180
Subtract 10 from both sides.
10x = 170
Divide both sides by 10.
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Given:
The equation of a line is:
A line passes through the point (-5,-3) and perpendicular to the given line.
To find:
The equation of the line.
Solution:
Slope intercept form of a line is:
...(i)
Where, m is the slope and b is the y-intercept.
We have,
...(ii)
On comparing (i) and (ii), we get
We know that the product of slopes of two perpendicular lines is always -1.
Slope of the required line is and it passes through the point (-5,-3). So, the equation of the line is:
Using distributive property, we get
Therefore, the equation of the line is . Hence, option A is correct.