Given a line that passes through the points (-4, 4) and (-9, 3): Find the slope of the line. Use a fraction instead of decimals. Find the equation of the line that passes through the points above. Write your answer in format. Use fractions instead of decimals.

Find the slope of the line:

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

Substitute the coordinates (-4, 4) and (-9, 3):

m = \frac{3 - 4}{-9 - (-4)}

Simplify the expression:

m = \frac{-1}{-5}

Calculate the slope:

m = \frac{1}{5}

Answer: m = \frac{1}{5}

Find the equation of the line that passes through the points above. Write your answer in format. Use fractions instead of decimals.

y - y_1 = m(x - x_1)

y - 4 = \frac{1}{5}(x + 4)

y - 4 = \frac{1}{5} x + \frac{4}{5}

y = \frac{1}{5} x + \frac{4}{5} + 4

y = \frac{1}{5} x + \frac{4}{5} + \frac{20}{5}

y = \frac{1}{5} x + \frac{24}{5}

necessarily [Solution] y = \frac{1}{5} x + \frac{24}{5}

Answer: y = \frac{1}{5} x + \frac{24}{5}