write the equation of this line in slope - intercept form.\nwrite your answer using integers, proper…

Explanation:

Step1: Find the slope (m)

The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}). Let's take two points on the line: ((0,-3)) and ((4,0)). (m=\frac{0 - (-3)}{4 - 0}=\frac{3}{4})

Step2: Find the (y) - intercept (b)

The slope - intercept form is (y = mx + b). From the point ((0,-3)), when (x = 0), (y=-3), so (b=-3)

Step3: Write the equation

Substitute (m=\frac{3}{4}) and (b = - 3) into (y=mx + b) (y=\frac{3}{4}x-3)

Answer:

(y=\frac{3}{4}x - 3)