What is the slope-intercept form of the equation 4x-2y=9

Answer 1

Hello, Jessica,

Slope intercept form has the format: y = mx + b.

Your equation, 4x-2y=9

can be rearranged in steps:

-2y = 9 - 4x subtract 4x from both sides

y = (9/-2) -(4/-2)x divide both sides by -2

y = -4.5 + 2x simplify

y = 2x - 4.5 and rearrange

The "-4.5" is the value of y when it crosses the y axis (y intercept) at x = 0. m is the slope, or rate of change of y as x is changed.

Bob