Question

Write the point-slope form of the equation of the line satisfying each of the following conditions. Then use the point-slope form to write the slope-intercept form of the equation in functional notation. Passing through (9,7) and (7,5)The point-slope form of the equation is?

Answer 1

we have the points

(9,7) and (7,5)

step 1

Find out the slope

m=(5-7)/(7-9)

m=-2/-2

m=1

step 2

Find out the equation in point-slope form

using

m=1 and point (9,7)

y-y1=m(x-x1)

substitute

y-7=(1)(x-9)

y-7=x-9 -------> equation in point slope form 1

using

m=1 and point (7,5)

substitute

y-5=(1)(x-7)

y-5=x-7 ---------> equation in point slope form 2

step 3

Convert to slope-intercept form

y-7=x-9 -----> y=x-9+7 ------> y=x-2 -----> equation in slope-intercept form

Convert to function notation

f(x)=x-2