Question

Write an equation for the line parallel to g(x) =-1x-5 passing through the point (10,1) write the answer in floor intercept form

Answer 1

g(x) = -1x + 11

Explanation:

Parallel equations have the same slope.

G(x) is the same as y.

Step 1:

y = mx + b

y = -1x + b

Step 2:

Substitute (10,1) in the equation

1 = -1(10) + b

now solve for b.

Step 3:

1 = -10 + b

+10 +10

1 = b

Step 4:

check

y = -1(10) + 11

y = -10 + 11

y = 1

Answer 2

To find an equation for the line that is parallel to g(x) = -1x - 5 and passes through the point (10,1), we need to use the slope-point form of a line.

First, let's find the slope of g(x) = -1x - 5, which is -1. Then, we can use the slope and the point (10, 1) to write the equation of the line in slope-point form:

y - 1 = -1 (x - 10)

Rearranging the equation, we can write it in the point-intercept form:

y = -1x + (1 + 10) = -1x + 11

So, the equation of the line parallel to g(x) = -1x - 5 passing through the point (10,1) is y = -1x + 11 in point-intercept form.