Which equation represents the line that passes through (-6, 7) and (-3, 6)?
1 answer:
For this case we have that by definition, the equation of the line in the slope-intersection form is given by:
Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis
We have the following points through which the line passes:
We find the slope of the line:
Thus, the equation of the line is of the form:
We substitute one of the points and find b:
Finally, the equation is:
Answer:
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To graph the line we need two points; we already have one the point (4,2) now we need to find another one; to do this we get the equation of the line given by:
where m is the slope and (x1,y1) are a point throught the line. Plugging the values given we have:
Now we give a value to x and find the corresponding y. If x=0, then:
hence we have the point (0,-2).
Now that we have two points (0,-2) and (4,2) we graph them on the plane and join them with a straight line, hence the graph is:
