algebra

​Slope Intercept Form

By Alex Barrer

 y=3x+2

Problem

The equation is:

y=3x+2

We want:

1. The slope mm

2. The y-intercept bb

3. The value of yy when x=4x=4

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👉 The number in front of x is the slope m.
Here, the number in front of xx is 3.

✅ So the slope is m=3m=3.

​The y-intercept is the number by itself at the end. Here, that number is +2. ✅ So the y-intercept is b = 2 b=2.

​Take the equation: y = 3 x + 2

Put x = 4

y = 3 ( 4 ) + 2

Multiply: y = 12 + 2

Add: y = 14

✅ When x = 4 x=4, y = 14 y=14.