Question

1. what is the equation of a line with a slope of 4 and y-intercept (0,2)?

y = 2x + 4
y = 4x - 2
y = 4x + 2
y = -4x + 2

Explanation:

Step1: Recall slope-intercept form

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

Step2: Substitute given values

Given slope $m=4$ and y-intercept $b=2$ (from the point $(0,2)$), substitute into the formula:
$y = 4x + 2$

Answer:

y = 4x + 2