Question

Find the equation of the line that contains the points (2,4) and (8,9). Write the equation in the form y=mx+b and identify m and b.m=b=

Answer 1

Find the equation of the line that contains the points (2,4) and (8,9). Write the equation in the form y=mx+b and identify m and b.

step 1

Find the slope

m=(9-4)/(8-2)

m=5/6

step 2

Find the equation in slope-intercept form

y=mx+b

we have

m=5/6

point (2,4)

substitute and solve for b

4=(5/6)(2)+b

4=(5/3)+b

b=4-5/3

b=7/3

therefore

y=(5/6)x+7/3