Question

Write an equation of the line in slope-intercept form. The slope is \(\frac{1}{2} ;\) the \(y\) -intercept is \(-8\).

Short answer

The equation of the line in slope-intercept form is \(y = \frac{1}{2}x - 8\).

Step-by-step solution

Identify the given slope and y-intercept

The problem has provided slope (m) as \(\frac{1}{2}\) and y-intercept (b) as -8.

Write down the slope-intercept form

The slope-intercept form of a line is \(y = mx + b\) where 'm' is the slope and 'b' is the y-intercept.

Substitute the values of m and b

Substitute the given values of the slope (m = \(\frac{1}{2}\)) and the y-intercept (b = -8) into the slope-intercept equation. The equation becomes \(y = \frac{1}{2}x - 8\).