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
:
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 = -{{{1/13}}}x + {{{4/13}}}
From this we know:
m = {{{-1/13}}} is the slope
and
{{{4/13}}} 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( 300, 200, -4, 6, -2, 2, (-1/13)x+(4/13)) }}}
You can see the x and y intercepts on this