The two angles shown in the figure are supplementary. What is the value of x? 6(x+1) other angle is 48°
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When written in the form, the slope of a line is given by the coefficient
. Moreover, two lines are parallel if the have the same slope.
Now, the slope of the known line is 4, so our line's slope will be four as well.
In general, when you know the slope of a line and one of its points
, the equation of the line can be derived from the following formula:
Which in your case becomes
Expand the right hand side and solve for y:
bearing in mind that, on the III Quadrant, sine as well as cosine are both negative, and that hypotenuse is never negative, so, if the sine is -4/5, the negative number must be the numerator, so sin(x) = (-4)/5.