Question

write the equation of the line in slope - intercept form, y = mx + b. first, find the slope of the line. m = 3 next, find the y - intercept of the line. b =

Explanation:

Step1: Recall the slope - intercept form

The equation of a line is \(y = mx + b\), where \(m\) is the slope and \(b\) is the \(y\) - intercept. The \(y\) - intercept is the value of \(y\) when \(x = 0\).

Step2: Identify the \(y\) - intercept from the graph

Looking at the graph, when \(x = 0\), the line crosses the \(y\) - axis at \(y=-1\). So \(b=-1\).

Answer:

\(b = - 1\)