What is the equation in point-slope form and slope intercept form for the line given (5,4), m=-5?

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Answer 1 · 2015-05-11T03:54:27

The point-slope form is #y-4=-5(x-5)#, and the slope-intercept form is #y=-5x+29# .

Point-slope Form: #y-y_1=m(x-x_1)#, where #(x_1,y_1)# is the given point and #m# is the slope.

Point=#(5,4)#
#m=-5#

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

#y-4=-5(x-5)#

Slope-intercept Form: #y=mx+b#, where #m# is the slope, and #b# is the y-intercept.

Solve #y-4=-5(x-5)# for #y# .

Distribute the #-5#.

#y-4=-5(x-5)# =

#y-4=-5x+25#

Add #4# to both sides.

#y=-5x+25+4# =

#y=-5x+29#

The slope is #-5# and the y-intercept is #29#.