Now, use this information to complete the equation for the line. Write it in slope-intercept form.

The answer to your question is   y = 3/2x + 4

Step-by-step explanation:

Data

y-intercept = 4

slope = 3/2

Process

1.- Write the equation of the line in the slope-y-intercept form.

                    y = mx + b

2.- Substitution

                    y = 3/2x + 4    This is the equation in the slope-intercept form.

This problem did not have difficulty, just substitute the data given.

y = 1.5x + 4

Step-by-step explanation:

(0,4) and (2,7)

y = mx + c

m = (7-4)/(2-0) = 3/2 = 1.5

y-intercept is clearly 4, so c = 4

y = 1.5x + 4

this answer 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.