Write an equation in​ point-slope form of the line that passes through the given​ points, then write the equation in​ slope-intercept form.

Question

(-9,7), (3,3)​
(Simplify your answer. Use integers or fractions for any numbers in the​ equation.)

Answer 1

To find the equation we first need to find the slope of the line.

The slope formula is given by:

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

Using the given points (-9,7) and (3,3), we can substitute the values into the formula:

m = (3 - 7)/(3 - (-9))
= -4/12
= -1/3

Now that we have the slope, we can use the point-slope form to find the equation:

y - y1 = m(x - x1)

Using the point (3,3), we substitute the values:

y - 3 = (-1/3)(x - 3)

Finally, we can simplify and write the equation in slope-intercept form:

y - 3 = (-1/3)x + 1
y = (-1/3)x + 4