Question

which equation describes the line with slope of 2 and containing the point (-1,4)?
○ y = 2x + 5
○ y = 2x + 6
○ y = -2x + 4
○ y = 2x + 4

Explanation:

Step1: Use point-slope form

The point-slope formula is $y - y_1 = m(x - x_1)$, where $m=2$, $x_1=-1$, $y_1=4$.
Substitute values: $y - 4 = 2(x - (-1))$

Step2: Simplify the equation

Simplify the right-hand side: $y - 4 = 2(x + 1)$
Expand: $y - 4 = 2x + 2$

Step3: Solve for y

Add 4 to both sides: $y = 2x + 2 + 4$
Simplify: $y = 2x + 5$

Answer:

A. $y = 2x + 5$