SOLUTION: Find the equation of the line that contains the point (-4, 7) and is parallel to the line 7x+4y=4. Write the line in slope-intercept form. Graph the lines. How do I do this? I

Algebra ->  Graphs -> SOLUTION: Find the equation of the line that contains the point (-4, 7) and is parallel to the line 7x+4y=4. Write the line in slope-intercept form. Graph the lines. How do I do this? I       Log On


   

Question 1072108: Find the equation of the line that contains the point (-4, 7) and is parallel to the line 7x+4y=4. Write the line in slope-intercept form. Graph the lines.
How do I do this? I don't know how.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
7x%2B4y=4
4y=-7x%2B4
y=-%287%2F4%29x%2B1
Slope of given line is -7%2F4, and any line in the plane parallel to it will have the same slope.


y=-%287%2F4%29x%2Bb
b=y%2B7x%2F4
point to be on line (-4,7);
b=7%2B7%28-4%29%2F4
b=7%2B7%28-1%29
b=0


Line wanted is highlight%28y=-%287%2F4%29x%29.