Determine the equation of the line that has slope -5 and goes through the point (3,-9)
Answers
Step-by-step explanation:
y−2=3(x−3) or y=3x−7
Explanation:
For a line to be parallel to another line, by definition it must have the same slope.
Because the equation is in the slope-intercept form we can use the slope of the line.
The slope- intercept form of a linear equation is :
y=mx+b
Where m is the slope and b is the y− intercept value.
Therefore, for the given equation the slope is 3.
Now we can use the point slope formula to determine the equation for the parallel line.
The point - slope formula states: (y−y
1
)=m(x−x
1
)
Where m is the slope and (x
1
,y
1
) is a point the line passes through.
Substituting the slope from the given line and the given point gives:
y−2=3(x−3)
Transforming this to the slope-intercept form by solving for y gives:
y−2=3x−9
y−2+2=3x−9+2
y=3x−7