Complete the equation for the standard form of the line that has an x-intercept of 3 and a y-intercept of 5.

5x+3y=15

Step-by-step explanation:

We are given two coordinates (3,0) (0,5)

Start by finding slope

y2-y1/x2-x1=  5-0/0-3= -5/3 this is your slope m.

y=mx+c

y= -5/3x+c (but remember standard line is ax+by=c) so we have to switch sides

5/3x + y=5 (remember standard form has no fraction so multiply by 3 on all sides)

5x+3y=15

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.

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.