Write an equation in point-slope form of the line that passes through the given points, then write the equation in slope-intercept form.
(-9,7), (3,3)
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
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