What is the point slope form of the line that passes through (3,7) and has a slope of m=0? What about the y-intercept form?

1 Answer
Jul 13, 2018

Point-slope form: #y-7=0(x-3)#

Slope-intercept form: #y=7#

Explanation:

Point-slope form:

#y-y_1=m(x-x_1)#,

where #m# is the slope and #(x_1,y_1)# is the point.

Plug in the known values.

#y-7=0(x-3)# #larr# point-slope form

Slope-intercept form:

#y=mx+b#,

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

Solve the point-slope form for #y#.

#y-7=0(x-3)#

#y-7=0#

Add #7# to both sides.

#y=7# #larr# slope-intercept form, where #m=0#

graph{y-7=0(x-3) [-11.9, 10.6, -0.54, 10.71]}