Select the correct answer. if a line crosses the y-axis at (0, 1) and has a slope of `4/5`, what is the equation of the line? a. 4y − 5x = 5 b. y − 4x = 5 c. 5y + 4x = 5 d. 5y − 4x = 5

Answer

D.  

5y − 4x = 5

Explanation

The general formula of a line function is;

y = mx + c

Where m is the slope and c is the y-intercept.

From the information given;

m = 4/5

c = 1

y = (4/5)x + 1

5y = 4x + 5

5y - 4x = 5

For this case we have, by definition, the slope-intercept equation of a line given by:

Where:

m is the slope

b is the cut point with the y axis

If we are told that the line crosses the axis and in (0,1), we have that

In addition, they tell us that

Substituting in the generic equation we have:

This is equivalent to:

Thus, the equation of the line is:

ANswer:

Option D

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4