Download Changing Standard to Slope

Changing Standard to Slope-Intercept Form
Ax + By = C
Standard Form:
Where a, b, and c are any numbers…
Slope can be found by dividing
A
B
m = — ——
A by B and taking the opposite sign.
SOOOoooo… in slope-intercept form ( y = mx + b) that
fraction must go in front of x
y = mx + ?
To find the y-intercept, take the original equation and let x = 0 so you have
+By = C
To solve for y, divide both sides by b.
C
B
——
Example 1: 3x + 4y = 16
3
m= – —
4
3
so we write y = – — x
4
THEN, by making x = 0 we get + 4y = 16… so divide both sides by 4 & the y-int. is + 4.
Write that on the end of the equation in slope-intercept form!
3 x+4
ANSWER: y = – —
4
DONE! E-Z!
Example 2: 3x – 4y = 16
3
m= – —
-4
3
Two negatives make a positive, so we write y = — x
4
THEN, by making x = 0 we get – 4y = 16. So divide both sides by -4 & the y-int. is – 4.
Write that on the end of the equation in slope-intercept form.
3 x – 4
ANSWER: y = —
4
DONE!