How do you find a standard form equation for the line with y-intercept is 3 and slope is 1?

1 Answer
Jan 14, 2017

See the entire solution process below:

Explanation:

First, we have the necessary information to write the equation for the line in slope-intercept form.

The slope-intercept form of a linear equation is:

#y = color(red)(m)x + color(blue)(b)#

Where #color(red)(m)# is the slope and #color(blue)(b# is the y-intercept value.

Substituting the values from the problem gives:

#y = color(red)(1)x + color(blue)(3)#

#y = 1x + 3#

The standard form of a linear equation is:

#color(red)(A)x + color(blue)(B)y = color(green)(C)#

where, if at all possible, #color(red)(A)#, #color(blue)(B)#, and #color(green)(C)#are integers, and A is non-negative, and, A, B, and C have no common factors other than 1

#y - color(red)(x) = 1x - color(red)(x) + 3#

# -1x + 1y = 0 + 3#

# -1x + 1y = 3#

#-1(-1x + 1y) = -1 xx 3#

#1x - 1y = -3#

#color(red)(1)x - color(blue)(1)y = color(green)(-3)#