How do you find the slope and y intercept for #y=3-5/4x#?

1 Answer
Lovecraft
Sep 17, 2015

#m = -5/4#
#B = 3#

Explanation:

The slope is the value that multiplies the variable. We know the formula #m = (Deltay)/(Deltax)#

By using the generic function #y = ax + b# we can show that a is always the slope.

#m = (y_f - y_i)/(x_f - x_i)#
#m = (ax_f + b - ax_i -b)/(x_f - x_i)#
#m = (a(x_f - x_i) +b -b)/(x_f - x_i)#
#m = a*cancel(x_f - x_i)/cancel(x_f-x_i)#
#m = a#

So, when we apply it to this function, we see that #m = -5/4#

The y-intercept is simply the value of the function when #x = 0#, and is always the value without a variable. We can show it by using the generic function.

#B = ax + b#
#B = a*0 + b#
#B = b#

So, for this function, the y-intercept is 3.

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