Write the equation of the line that passes through 7, -4 and -1, 2 in slope intercept form

Question

Write the equationWrite the equation of the line that passes through 7, - 4 and -1, 2 in slope intercept form

Answer 1

The equation of the line passing through two different points P₀(x₀,y₀) and P₁(x₁,y₁) may be written as:

y = (x-x₀)( (y₁-y₀)/(x₁-x₀) ) + y₀      [this is slope-intercept form y=mx+b]

y = (x-7)(2-(-4))/(-1-7) + (-4)

y = 6(x-7) / (-8) - 4

y = (-3/4)x + 5/4

Check:

for (7,-4):

     Does   -4 = (-3/4)7 + 5/4   ?

                -4 = (-21/4) + 5/4    ?

                 -4 = (-16/4)            ?

                 -4 = -4             ?yes

for (-1,2):

     Does   2 = (-3/4)(-1) + 5/4    ?

                2 = (3/4) + 5/4      ?

                2 = 8/4           ?

                 2 = 2            ?yes

Answer 2

8^2+6^2=c^2

64+36=100^.5=10=c