Question

Find the slope (m): The slope (m) tells us how steep the line is. We can find it using the two points A(0, 4) and B(-4, -8). The formula for slope is:
m=y2−y1x2−x1
In our case:
Point A(0, 4) is (x1, y1)
Point B(-4, -8) is (x2, y2)
Now plug in the values:
y2=−8 (from point B)
y1=4 (from point A)
x2=−4 (from point B)
x1=0 (from point A)
So now we calculate:
m=−8−4−4−0=−12−4
This simplifies to 3.
So, the slope m=3.
Find the y-intercept (b): The y-intercept is where the line crosses the y-axis. We can use point A(0, 4) since its x-coordinate is 0, which directly gives us the y-intercept. So, b=4.
Write the equation: We can use the slope (m) and y-intercept (b) to write the equation of the line in the form y=mx+b.
Plugging in the slope and y-intercept we found:y=3x+4
So, the equation of line AB is:
can you make this less advanced and can you use less words and do it without fractions

Answer 1

Sure! Let's break it down simply.

**Find the slope (m)**:
- We have two points: A(0, 4) and B(-4, -8).

Using the formula for slope:
\[
m = \frac{y2 - y1}{x2 - x1}
\]

Where:
- Point A: (x1, y1) = (0, 4)
- Point B: (x2, y2) = (-4, -8)

Plug in the values:
- y2 = -8
- y1 = 4
- x2 = -4
- x1 = 0

Now calculate:
\[
m = \frac{-8 - 4}{-4 - 0} = \frac{-12}{-4}
\]

This simplifies to:
\[
m = 3
\]

**Find the y-intercept (b)**:
- From point A(0, 4), we see that the y-intercept (where x = 0) is simply \( b = 4 \).

**Write the equation**:
- Use the slope (m) and y-intercept (b) to form the line's equation:
\[
y = mx + b
\]
This gives:
\[
y = 3x + 4
\]

**Final answer**:
The equation of line AB is:
\[
y = 3x + 4
\]