The equation of a line is x+3y=14 what is the y-intercept of the line?

 The required y-intercept of the given line is  

Step-by-step explanation:  We are given to find the y-intercept of the following equation of a line :

The slope-intercept form of the equation of a line is given by

where m is the slope and c is the y-intercept of the line.

From equation (i), we have

Comparing the above equation with the slope-intercept form, we get

Thus, the required y-intercept of the given line is  

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.