What is an equation of the line that passes through the point (-4, -6) and is perpendicular to the line 2x -y = 6?

The required equation is:

Step-by-step explanation:

We need to find equation of the line that passes through the point (-4, -6) and is  perpendicular to the line

The equation of line will be in the slope intercept form

where m is slope and b is y-intercept.

Finding Slope

First transforming the given equation in slope-intercept form:

Now comparing the equation with general equation of slope intercept form We get slope m= 2

Since the two lines are perpendicular, the slope of new line will be opposite reciprocal of given line i.e

So, Slope of required line is:

Finding y-intercept

y-intercept can be found using slope and point (-4,-6) as follows

So, y-intercept b = -8

Finding equation of line:

The equation of line having slope and y-intercept b = -8 is:

Now, writing the equation in standard form i.e Ax+By=C

So, the required equation is:

step-by-step explanation:

two pairs of adjacent sides are of equal length. this implies that one diagonal divides the kite into congruent triangles, and so the angles between the two pairs of equal sides are equal in measure. it also implies that the diagonals are perpendicular.

income. 10x+1300

expenses 3x+(1800+1500)

expenses 3x+3300

to break even:

income = expense,

10x + 1300 = 3x + 3300,

solve for x.

step-by-step explanation:

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