Select the correct answer. What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)? A. y = 3x
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Answer:
Choice B. .
Step-by-step explanation:
Start by finding the slope of this line. Let and
represent two distinct points on a line on a Cartesian Plane. (That is,
.) The slope of this line would be:
.
For the line in this question:
,
;
.
Indeed, . The slope of this line would thus be
, which is equal to
.
On a Cartesian Plane, the point-slope form of a line that has a slope of and includes the point
can be written as:
.
(Note the minus signs in this form.)
For the line in this question, . There are two equivalent expressions for its point-slope form:
- Using the first point,
. This equation is equivalent to
.
- Using the second point,
.