How do you find the slope and y-intercept for the line #y = -7/4 x +2#?

3 Answers
Sep 28, 2015

Answer:

Slope: #-7/4#
y-intercept: #2#

Explanation:

Any linear equation in the form
#color(white)("XXX")y = mx+b#
is in a form called the "slope-intercept form"
with a slope of #m#
and a y-intercept of #b#

#y=-7/4x+2# is in this form
with #m= -7/4#
and a y-intercept #=2#

Sep 28, 2015

Answer:

You do it like this:

Explanation:

A straight line is of the form:

#y=mx+c#

#m# is the gradient

#c# is the intercept i.e the point at #x=0# where the line cuts the #y# axis.

So for the line:

#y=-7/4x+2#

The slope #m=-7/2# and the intercept #c=2# graph{y=-7/2x+2 [-10, 10, -5, 5]}

Sep 28, 2015

Answer:

Slope=#-7/4#

y-intercept=#2#

Explanation:

The coefficient of #x# (that is, the number being multiplied by #x#) is the slope. Therefore, the slope= #-7/4#

The y-intercept is the constant in the equation (that is, it is the number that is not being multiplied by any variable, such as #x# or #y#). Therefore, the y-intercept= #2#

The equation of a line can generally be written as #y=mx+c#, where #m# is the slope and #c# is the y-intercept.