Question

Select the two statements that are true about the equation y+4=−8(x−2)

Answer 1

what is the slope and a point on the graph

Answer 2

a point on the graph is?

Answer 3

1. The equation is in slope-intercept form.
2. The equation can be rewritten as y = -8x + 12.

Answer 4

The slope of the equation in the form y = mx + b is the coefficient of x, which in this case is -8.

To find a point on the graph, we can choose a value for x and substitute it back into the equation to solve for y. Let's choose x = 0:

y + 4 = -8(0 - 2)
y + 4 = -8(-2)
y + 4 = 16
y = 16 - 4
y = 12

So, when x = 0, y = 12. A point on the graph is (0, 12).

Answer 5

A point on the graph of the equation y + 4 = -8(x - 2) is (2, -4).

To find this point, we can rewrite the equation in slope-intercept form by solving it for y:

y + 4 = -8(x - 2)
y = -8(x - 2) - 4
y = -8x + 16 - 4
y = -8x + 12

This shows that the equation is in the form y = -8x + 12, which means the slope is -8.

To find a point on the graph, we can look at the constant term and see that when x = 2:

y = -8(2) + 12
y = -16 + 12
y = -4

So, the point (2, -4) lies on the graph of the equation.