Question

question
find the equation of the linear function represented by the table below in slope - intercept form.

x	0	1	2	3	4
y	3	12	21	30	39

answer
y =
submit answer
watch video
show examples

Explanation:

Step1: Identify slope (m)

Use two points, e.g., (0, 3) and (1, 12).
Slope formula: \( m = \frac{y_2 - y_1}{x_2 - x_1} \)
\( m = \frac{12 - 3}{1 - 0} = \frac{9}{1} = 9 \)

Step2: Identify y-intercept (b)

When \( x = 0 \), \( y = 3 \), so \( b = 3 \).

Step3: Write equation

Slope-intercept form: \( y = mx + b \)
Substitute \( m = 9 \) and \( b = 3 \):
\( y = 9x + 3 \)

Answer:

\( y = 9x + 3 \)