Question

Which linear function represents the line given by the point-slope equation y + 1 = –3(x – 5)?

Answer 1

Answer: f(x) = –3x + 14

Step-by-step explanation:

The point slope form of an equation is expressed as

y - y1 = m(x - x1)

The given equation is

y + 1 = –3(x – 5)

Comparing with the point slope equation,

y1 = - 1

Slope, m = - 3

x1 = 5

The equation of a straight line can also take the slope intercept form,

y = mx + c

Where

m is the slope(change in y /change in x)

c represents the intercept.

We would determine the intercept by substituting x = 5 , y = -1 , m = - 3, into y = mx + c. It becomes

- 1 = - 3 × 5 + c

- 1 = -15 + c

c = - 1 + 15 = 14

The equation becomes

y = -3x + 14