Question

question 2 (1 point)
(02.04 mc)
choose the equation that represents the line that passes through the point (2, 6) and has a slope of -5.
o a y = -5x + 2
o b y = -5x - 6
o c y = -5x - 4
o d y = -5x + 16

Explanation:

Step1: Recall point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$, where $(x_1,y_1)$ is a point on the line and $m$ is the slope. Here, $x_1 = 2$, $y_1=6$ and $m=-5$.

Step2: Substitute values into point - slope form

Substitute the values into the formula: $y - 6=-5(x - 2)$.

Step3: Simplify the equation

Expand the right - hand side: $y - 6=-5x + 10$. Then add 6 to both sides of the equation. We get $y=-5x+10 + 6$, which simplifies to $y=-5x + 16$.

Answer:

D. $y=-5x + 16$