Writing an Equation

Question

Write an equation of the line in slope-intercept form and standard form given the following conditions:

A line that has a slope of 1 and crosses the y-axis at (0, -4)

Answer 1

y= (1)x-4 in slope intercept form

or just y = x-4 with an implicit 1 as the coefficient of the x term. the constant term is the y intercept -4, or the point (0,-4)

when a linear equation is solved for y, the coefficient of x is the slope and the constant term is the y intercept. the y intercept is when x=0

x-y =4 in standard form, ax+by =c, a=1, b=-1, c=4