SOLUTION: Write the equation of the line that passes through (2, 4) and (1, –3) in slope-intercept form.

Algebra ->  Linear-equations -> SOLUTION: Write the equation of the line that passes through (2, 4) and (1, –3) in slope-intercept form.      Log On


   

Question 494790: Write the equation of the line that passes through (2, 4) and (1, –3) in slope-intercept form.
Answer by lwsshak3(11628) About Me  (Show Source):
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Write the equation of the line that passes through (2, 4) and (1, –3) in slope-intercept form.
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Standard form of an equation for a straight line: y=mx+b, m=slope, b=y-intercept
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Slope of given line=∆y/∆x=(4-(-3)/(2-1)=7/1=7
Equation:
y=7x+b
find b using one of given points (2,4)
4=7*2+b
b=4-14=-10
Equation:
y=7x-10
see graph below as a visual check on answers
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+graph%28+300%2C+300%2C+-10%2C+10%2C+-20%2C+5%2C7x-10%29+