Write an equation for the line (0, 5) and (-3, -9)

Answer 1

To find the equation of a line, we can use the formula for slope, which is given by:

slope = (y2 - y1) / (x2 - x1)

Let's plug in the coordinates (0, 5) into this formula:

slope = (5 - (-9)) / (0 - (-3))
= (5 + 9) / (0 + 3)
= 14 / 3

Now that we have the slope, we can use the point-slope form of a linear equation, which is:

y - y1 = m(x - x1)

Let's use the point (0, 5) and the slope of 14/3:

y - 5 = (14/3)(x - 0)

Simplifying:

y - 5 = (14/3)x

Now, we can rewrite this equation in slope-intercept form (y = mx + b) by isolating y:

y = (14/3)x + 5

So, the equation of the line passing through the points (0, 5) and (-3, -9) is y = (14/3)x + 5.