How do you solve a linear system by graphing if the first equation is y = 4 and the second is x = 3?

How do you solve a linear system by graphing if the first equation is y = 4 and the second is x = 3?

I know how to find the solution with 2 slope-intercept form equations (y=mx+b) but this form does not make sense.

Rachel2011-04-05T00:15:26Z

Favorite Answer

okayy.... so you know the equation, y, x, and the slope-intercept

equation: y-value = (m)(x-value) + b
m is the slope, and b is the slope-intercept. now plug in all of the variables, except for m, because you don't know what the slope is. That is what you are trying to find:

y = mx + b
4 = 3m + 2
subtract 2 from both sides:
4 - 2 = 2 = 3m
divide both sides by 3:
2 / 3 = m = slope

now that you know the slope, plug in m and b into the equation. Don't plug the x and y values in though, because you want an equation that can be used for all values, not just (3, 4)....

y = mx + b
y = (2/3)x + 2

hope this helped and I made sense! (: