Write an equation in slope-intercept form of the line having the given slope and y-intercept. m: -4/6, (0,-4)

y = -4/6x - 4

Step-by-step explanation:

y = m(x - x₁) + y₁

You're given m=-4/6 and (0,-4) ←x₁=0, y₁=-4

so just plug it into the point-slope equation.

y = (-4/6)(x - (0)) + (-4)

y = (-4/6)(x) + (-4)

y = -4/6x - 4

y = -4x/6 - 4

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The slope,m of the given line is -4/6

To determine the intercept, we would substitute m = -4/6, x = 0 and y = -4 into y = mx + c. It becomes

- 4 = -4/6 × 0 + c = 0 + c

c = - 4

The equation becomes

y = -4x/6 - 4

30 feet

step-by-step explanation:

that would be 2 1/2 * 12

= 24 + 6

= 30 feet   (answer)

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.