Question

write the equation of this line in slope-intercept form.

Explanation:

Step1: Identify the y-intercept

The line crosses the y - axis at (0, 4), so the y - intercept \(b = 4\).

Step2: Calculate the slope

We can use two points on the line, for example, (0, 4) and (1, - 1). The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substituting the values: \(m=\frac{-1 - 4}{1 - 0}=\frac{-5}{1}=-5\).

Step3: Write the equation in slope - intercept form

The slope - intercept form is \(y = mx + b\). Substituting \(m=-5\) and \(b = 4\), we get \(y=-5x + 4\).

Answer:

\(y=-5x + 4\)