Question

Given 1: f(x) = 12x + 1

Given 2: g(x) || f (x)
Given 3: g(x) passes through (1, 5)
1 pts
Write the equation for g(x)
Write your answer as either [an equation in y = simplified slope-intercept form] or [an equation
in point-slope form] using decimals rounded to the nearest hundredth - do not use spaces.
1 ptc

Answer 1

To find the equation for g(x), we know that g(x) is parallel to f(x) and passes through the point (1, 5). Since f(x) has a slope of 12, g(x) must also have a slope of 12 in order to be parallel. Using the point-slope form of a linear equation, we can write:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the given point. Plugging in m = 12 and (x1, y1) = (1, 5), we get:

y - 5 = 12(x - 1)

Expanding and simplifying, we get:

y - 5 = 12x - 12
y = 12x - 7

Therefore, the equation for g(x) is y = 12x - 7.