SOLUTION: Write the slope-intercept form of the line that passes through (1,5) and (2,8). Complete the equation of the line in slope-intercept form.

Algebra ->  Equations -> SOLUTION: Write the slope-intercept form of the line that passes through (1,5) and (2,8). Complete the equation of the line in slope-intercept form.       Log On


   

Question 814094: Write the slope-intercept form of the line that passes through (1,5) and (2,8). Complete the equation of the line in slope-intercept form.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
FIND SLOPE, m.
Vertical change divided by horizontal change, m=%288-5%29%2F%282-1%29=highlight%283%29

FIND VERTICAL AXIS INTERCEPT, b.
General form, same as slope-intercept form, y=mx%2Bb,
b=y-mx.
Substitute known m and either point,
b=5-3%2A1
b=5-3
highlight%28b=2%29

FINISH EQUATION.
referring to y=mx+b, using the now found values,
highlight%28y=3x%2B2%29