Slope-intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0)
You need to find "m" and "b".
For lines to be perpendicular, their slopes have to be the opposite/negative reciprocals (flipped sign and number)
For example:
slope is 3
perpendicular line's slope is -1/3
slope is -2/5
perpendicular line's slope is 5/2
The given line's slope is -2, so the perpendicular line's slope is 1/2.
y = 1/2x + b
To find "b", you plug in the point (2,-3) into the equation
y = 1/2x + b
-3 = 1/2(2) + b
-3 = 1 + b Subtract 1 on both sides
-4 = b
[tex]y=\frac{1}{2}x-4[/tex]
