How do you find the slope and y intercept of #y=-3/4x+3#?

2 Answers
Alan P.
Feb 8, 2016

Slope: #(-3/4)color(white)("XXXXXXXX")#y-intercept: #3#

Explanation:

Any linear equation of the form:
#color(white)("XXX")y=color(blue)(m)x+color(red)(3)#
is in "slope-intercept form"
with slope #=color(blue)(m)# and y-intercept #=color(red)(b)#

#y=color(blue)(-3/4)x+color(red)(3)#
is in this form
so slope #=color(blue)(-3/4)# and y-intercept #=color(red)(3)#

Jim G.
Feb 8, 2016

slope # = -3/4#
y-intercept = 3

Explanation:

One form of the equation of a straight line is y = mx + c , often referred to as the slope-intercept form.

In y = mx + c , m , represents the gradient (slope ) and c , the y-intercept.

hence an equation in this form allows access to m and c .

therefore for # y = -3/4 x + 3#

slope # = -3/4color(black)(" and y-intercept ") = 3 #

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