Question

Right the equation of the line in slope intercept form accordance are (3,0) (0,-2)

Answer 1

To write the equation of the line in slope-intercept form (y = mx + b) using the points (3, 0) and (0, -2), we first need to calculate the slope (m) of the line.

The formula for slope (m) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Using the points:
- \((x_1, y_1) = (3, 0)\)
- \((x_2, y_2) = (0, -2)\)

We can plug the coordinates into the formula:

\[
m = \frac{-2 - 0}{0 - 3} = \frac{-2}{-3} = \frac{2}{3}
\]

Now that we have the slope \(m = \frac{2}{3}\), we can use one of the points to find the y-intercept (b). We'll use the point (0, -2):

Since the point (0, -2) is already in the form (0, b), we can see that the y-intercept \(b = -2\).

Now we can write the equation of the line in slope-intercept form:

\[
y = \frac{2}{3}x - 2
\]

So, the equation of the line in slope-intercept form is:

\[
y = \frac{2}{3}x - 2
\]