Question 73626: 1.Find the slope, given the two points
(-7/5, 3/10) and (1/5, -1/2).
2. Write the equation of the line that is parallel to 3x = 4y + 5 and passes through the point (2, -3).
Answer by funmath(2933)   (Show Source):
You can put this solution on YOUR website! 1.Find the slope, given the two points
(-7/5, 3/10) and (1/5, -1/2).
When given two points and asked for a slope, use the slope formula: , m=slope, (x1,y1) and (x2,y2) are the given points.
(x1,y1)=(-7/5,3/10) and (1/5,-1/2)
:
2. Write the equation of the line that is parallel to 3x = 4y + 5 and passes through the point (2, -3).
In order to wirte an equation of a line, you need a point and a slope. They gave you the point, you need to find the slope. Parallel lines have equal slopes. You have the equation of a parallel line. To find its slope, put it in slope intercept form.  , m=slope, (0,b)=y-intercept.
The coefficient of x is your slope. m=3/4
Now that you have both a slope and a point, you can use the point slope formula to find the equation of the line.  , m=slope and (x1,y1) is the given point.
m=3/4 and (x1,y1)=(2,-3)
 *
 This is the general or standard form of the equation of the line.
*If you need the slope intercept form of the equation of the line, solve for y.
Happy Calculating!!!!
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