Question 64119
The slope-intercept formis {{{y = mx + b}}}
{{{7x + 2y = 11}}}
subtract 7x from both sides
{{{2y = -7x + 11}}}
divide both sides by 2
{{{y = (-7/2)x + 11/2}}}
The slope is -7/2
What's a good way to check the answer?
Try this
{{{7x + 2y = 11}}}
If x = 0
2y = 11
y = 11/2
the point (0,11/2) is on the line
If y = 0
7x = 11
x = 11/7
the point (11/7,0) is on the line
use{{{m  = (y[2] - y[1]) / (x[2] - x[1])}}}
{{{m = (0 - (11/2)) / ((11/7) - 0)}}}
{{{m = (-11/2) / (11/7)}}}
multiply top and bottom by 7/11
{{{m = (7/11)*(-11/2) / ((7/11)*(11/7))}}}
{{{m = -7/2}}}
checks OK