What is the equation for a line with slope of 0.75 and y intercept of -5?

1 Answer

#y= 0.75x - 5 #

Explanation:

Here given that slope #(m) = 0.75#
and #y#-intercept of #-5# means that the line passes through the #y#-axis at #y=-5#.

The #x#-coordinate at #y#-axis is zero

So #(x1,y1) = (0,-5)# is the point the line passes through

Equation of the line is given by;

#(y-y1)=m(x-x1)#

#(y+5) =0.75(x-0)#

#y+5 = 0.75x#

So,
#y= 0.75x - 5# is the equation of the line.