Write an equation of (0, 7) and (4, -4)

Answer 1

The slope of the line that passes through the points (0, 7) and (4, -4) can be found by using the formula:

slope = (change in y) / (change in x)

Let's call the slope m. Then:

m = (-4 - 7) / (4 - 0)
= -11 / 4

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

y - y1 = m(x - x1)

Plugging in the values (0, 7) for (x1, y1) and the slope m = -11/4:

y - 7 = (-11/4)(x - 0)

Simplifying:

y - 7 = (-11/4)x

Finally, rearranging the equation to slope-intercept form (y = mx + b):

y = (-11/4)x + 7