Question

I need some help I don't really get thia question either...

Answer 1

y = -21/2 x + 5 (option C)

Step-by-step explanation:

The points: (-4, 47) and (2, -16)

Using the slope formula:

`m\text{ = }(y_2-y_1)/(x_2-x_1)`
`\begin{gathered} x_1=-4,y_1=47,x_2=2,y_2\text{ = -1}6 \\ \text{slope = m =}(-16-47)/(2-(-4)) \end{gathered}`
`\begin{gathered} \text{slope =}(-63)/(2+4)=-(63)/(6) \\ \text{slope = -21/2} \end{gathered}`

Equation of line in slope intercept form:

y = mx + b

b =y - intercept. To get b, we would use any of the given point and the slope

using (-4, 47) = (x, y)

47 = -21/2 (-4) + b

47 = 84/2 + b

47 = 42 + b

b = 47 - 42

b = 5

The equation in slope intercept form becomes:

y = -21/2 x + 5 (option C)