SOLUTION: Identify the x and y intercepts, slope, and determine if the equation is in standard, point-slope or slope-intercept form: x+13y=4

Algebra ->  Linear-equations -> SOLUTION: Identify the x and y intercepts, slope, and determine if the equation is in standard, point-slope or slope-intercept form: x+13y=4      Log On


   

Question 238534: Identify the x and y intercepts, slope, and determine if the equation is in standard, point-slope or slope-intercept form: x+13y=4
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Identify the x and y intercepts, slope, and determine if the equation is in standard, point-slope or slope-intercept form: x + 13y = 4
:
First we can identify it as in the standard form which ax + by = c
:
To find the slope put it into the slope intercept form, which is y = mx + b
x + 13y = 4
subtract x from both sides
13y = -x + 4
divide both sides by 13
y = -1%2F13x + 4%2F13
From this we know:
m = -1%2F13 is the slope
and
4%2F13 is the y intercept (occurs when x=0)
:
Find the x intercept, it occurs when y = 0
Use the standard form
x + 13(0) = 4
x + 0 = 4
x = 4 is x intercept
;
It would look like this:
+graph%28+300%2C+200%2C+-4%2C+6%2C+-2%2C+2%2C+%28-1%2F13%29x%2B%284%2F13%29%29+
You can see the x and y intercepts on this