what is the function rule for the linear function in this graph? slope-intercept form y = mx + b y = ?x +
what is the function rule for the linear function in this graph? slope-intercept form y = mx + b y = ?x +
Answer
Explanation:
Step1: Find the y-intercept (b)
The y-intercept is the point where the line crosses the y-axis. From the graph, the line crosses the y-axis at (0, 3), so ( b = 3 ).
Step2: Calculate the slope (m)
We can use two points on the line, for example, (0, 3) and (-1, -1). The slope formula is ( m=\frac{y_2 - y_1}{x_2 - x_1} ). Substituting the points: ( m=\frac{-1 - 3}{-1 - 0}=\frac{-4}{-1} = 4 ).
Answer:
( y = 4x + 3 )