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Answer:
The equation of line that passes through the point (8,-7) and is parallel to the line 5x+4y=16 is
Step-by-step explanation:
We need to write an equation of the line that passes through the point (8,-7) and is parallel to the line 5x+4y=16.
The equation will be of form where m is slope and b is y-intercept.
Finding slope of the line:
Since both the lines are parallel, and we know that parallel lines have same slope.
The slope of given line can be found by writing in slope-intercept form
Comparing with the slope m is:
So, the slope of required line is:
Now, finding y-intercept b
y-intercept can be found using slope and point (8,-7)
So, we get y-intercept: b=3
Now, the equation of required line having slope and y-intercept b=3 is:
So, the equation of line that passes through the point (8,-7) and is parallel to the line 5x+4y=16