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In the following exercise, use the given conditions to write an equation for each line in point-slope form and slope-intercept form. Passing through (-2,2) and parallel to the line whose equation is 2x-3y=7

User Pelumi
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1 Answer

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22 votes

We know that two lines are parallel if they have the same slope.

Now, recall that the slope of a line in general form:


Ax+By=C

is:


-(A)/(B).

Therefore the slope of the lines represented by the given equation is:


-(2)/(-3)=(2)/(3).

Using the slope-point formula for the equation of a line we get that the equation of a line that is parallel to the given line and passes through (-2,2) is:


y-2=(2)/(3)(x-(-2)).

Simplifying the above result we get:


y-2=(2)/(3)(x+2).

Answer:


y-2=(2)/(3)(x+2)

User Mark Armstrong
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