Given the straight line that passes through the points (1,-4) and (4,5): a) Determine the main form of the equation of the line b) Graph the line

a). Calculate the slope m of the line using the formula:

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

Substituting the given points (1,-4) and (4,5):

m = \frac{5 - (-4)}{4 - 1}

m = \frac{9}{3}

m = 3

Use the slope-intercept form of the line equation, y = mx + c, and plug in the slope m and one of the points, for instance, (1,-4):

-4 = 3(1) + c

-4 = 3 + c

c = -7

Write the equation of the line:

y = 3x - 7