Write each equation in point-slope form.
Slope: $m=4$; Point: $(1,-2)$

• A. $y-2=4\(\left\)(x-1\(\right\))$
• B. $y-4=2\(\left\)(x-1\(\right\))$
• C. $y+4=2\(\left\)(x-1\(\right\))$
• D. $y+2=4\(\left\)(x-1\(\right\))$

Answer: (D)

Verified step by step guidance

1. Recall the point-slope form of a linear equation, which is given by the formula: \(y - y_1 = m(x - x_1)\), where \(m\) is the slope and \((x_1, y_1)\) is a point on the line.
2. Identify the slope \(m\) from the problem, which is \$4$.
3. Identify the point \((x_1, y_1)\) from the problem, which is \((1, -2)\).
4. Substitute the slope and the coordinates of the point into the point-slope formula: \(y - (-2) = 4(x - 1)\).
5. Simplify the expression by changing the double negative to addition: \(y + 2 = 4(x - 1)\), which is the equation in point-slope form.