a water line is given by the equation y = - 2/3x - 12

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Suppose you want to put a pink flamingo lawn ornament in your backyard, but you want to avoid placing it directly over the water line, in case you need to excavate the line for repairs in the future. Could you place it at the point (-4,-10)? yes

c) What is the slope and y-intercept of the line in part b? How do you know? intercept is (0,12) because if x is -3, y is 10 (-3,10)
if x is -6, y is 8 (-6,8)
if x is -9, y is 6 (-9,6)
when a straight line is drawn it intercepts at 12

the slope is: 2/3

c) What is the slope and y-intercept of the line in part b? How do you know? intercept is (0,12) because if x is -3, y is 10 (-3,10)

if x is -6, y is 8 (-6,8)
if x is -9, y is 6 (-9,6)
when a straight line is drawn it intercepts at 12

the slope is: 2/3

c) What is the slope and y-intercept if a water line is given by the equation y = -2/3x - 12. could you place a line on (-4,-10) without interferring?

What is the slope and y-intercept of the line equation y = -2/3x - 12

How do you know? intercept is (0,12) because if x is -3, y is 10 (-3,10)
if x is -6, y is 8 (-6,8)
if x is -9, y is 6 (-9,6)
when a straight line is drawn it intercepts at 12

the slope is: 2/3

How could it be at that point?

y=-2/3 * (-4) -12
y=8/3 -12 .

To find the slope and y-intercept of the water line given by the equation, y = -2/3x - 12, you can directly compare it with the slope-intercept form of a linear equation, y = mx + b.

The slope (m) of a line represents the rate of change of y with respect to x. In this equation, the slope is -2/3. This means that for every 1 unit increase in x, y decreases by 2/3 units.

The y-intercept (b) of a line is the point where the line crosses the y-axis, which is the value of y when x = 0. In this equation, the y-intercept is -12, as the line crosses the y-axis at the point (0, -12).

To verify this, you can substitute various values of x into the equation to find the corresponding values of y. For example, when x is -3, y becomes:

y = -2/3(-3) - 12
y = 2 + (-12)
y = -10

Similarly, when x is -6 and -9, you can calculate y to be 8 and 6, respectively. These points (-3, -10), (-6, 8), and (-9, 6) help confirm the y-intercept of -12.

Therefore, the slope of the line is -2/3, and the y-intercept is (0, -12).