SOLUTION: Find an equation of the line containing the given pair of points. (1/4 , -1/2) and (3/4 , 2). What is the equation of the line?

Question 611717: Find an equation of the line containing the given pair of points. (1/4 , -1/2) and (3/4 , 2). What is the equation of the line?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find an equation of the line containing the given pair of points. (1/4 , -1/2) and (3/4 , 2). What is the equation of the line?
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Standard form of equation for a straight line: y=mx+b, m=slope, b=y-intercept
Slope of given line=change of y/change of x=∆y/∆x=(2-(-1/2))/(3/4-1/4)=(5/2/1/2)=10/2=5
equation: y=5x+b
solve for b using (x,y) coordinates of one of given points (3/4,2)
2=5*3/4+b
8=15+4b
4b=-7
b=-7/4
Equation of given line:
y= 5x-7/4
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