Question

what is the equation for the line in slope-intercept form?
enter your answer in the box.
graph of a line on a coordinate plane with x-axis from -20 to 20 and y-axis from -20 to 20, passing through points and with a grid. the line passes through the origin and other points like (1,8), (2,16), etc. (exact points from the graph as per the image)

Explanation:

Step1: Identify slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$

Step2: Pick two points on line

Use $(1,8)$ and $(3,16)$

Step3: Calculate the slope

$m = \frac{16 - 8}{3 - 1} = \frac{8}{2} = 4$

Step4: Find y-intercept $b$

Use point $(1,8)$ in $y=mx+b$:
$8 = 4(1) + b$
$b = 8 - 4 = 4$

Step5: Write slope-intercept form

Substitute $m=4$, $b=4$ into $y=mx+b$

Answer:

$y = 4x + 4$