How do you write the equation of a line in slope-intercept form passing through (4, 5) and (6, 8)?

Question

3685 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-05-16T02:00:54

First you need to find the slope using the given information.

The equation to use is:

#m=(y_2-y_1)/(x_2-x_1)#,

where #m# is the slope and #(x_1,y_1)# is one point, and #(x_2,y_2) is the other point.

Let #(4,5)# be point 1, and #(6,8)# be point 2.

Substitute the given values into the equation.

#m=(8-5)/(6-4)#

#m=3/2#

Slope intercept form of linear equation:

#y=mx+b#,

where #m# is the slope and #b# is the y-intercept.

Use one of the points to determine the y-intercept. I am using #(4,5)#, but #(6,8)# will give the same answer.

#5=3/2xx4+b#

Simplify.

#5=12/2+b#

#5=6+b#

Subtract #6# from both sides.

#-1=b#

Slope intercept form of the equation:

#y=3/2x-1#