Question

type the correct answer in the box. use numerals instead of words.
a line that passes through the point (x,y), with a y - intercept of b and a slope of m, can be represented by the equation y = mx + b.
a line is drawn on the coordinate plane that passes through the point (3, - 6) and has a slope of 4. the y - intercept of the line is

Explanation:

Step1: Substitute known values

Substitute $x=3$, $y=-6$, $m=4$ into $y=mx+b$:
$-6 = 4(3) + b$

Step2: Calculate the product

Compute $4\times3$:
$-6 = 12 + b$

Step3: Solve for $b$

Subtract 12 from both sides:
$b = -6 - 12$
$b = -18$

Answer:

-18