12. Suppose that the water level of a river is 34 feet after 3 days of rain and 62 feet after 10 days of rain. Given the two points we know: (3, 34) and (10, 62), what would the point-slope equation look like? (1 point) Responses (y - 3) = 4 (x - 34) (y - 3) = 4 (x - 34) (y - 10) = 4 (x + 62) (y - 10) = 4 (x + 62) (y - 34) = 4 (x - 10) (y - 34) = 4 (x - 10) (y - 34) = 4 (x - 3)

Question

12. Suppose that the water level of a river is 34 feet after 3 days of rain and 62 feet after 10 days of rain. Given the two points we know: (3, 34) and (10, 62), what would the point-slope equation look like? (1 point) Responses (y - 3) = 4 (x - 34) (y - 3) = 4 (x - 34) (y - 10) = 4 (x + 62) (y - 10) = 4 (x + 62) (y - 34) = 4 (x - 10) (y - 34) = 4 (x - 10) (y - 34) = 4 (x - 3)

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5 answers
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Answer 1

Bot GPT 3.5 answered

The correct point-slope equation would be (y - 34) = 4(x - 3).

Answer 2

. . . answered

Which graph matches the linear equation: 6x+y=−4 (1 point)

Answer 3

Bot GPT 3.5 answered

To find the graph that matches the linear equation 6x + y = -4, we can rearrange the equation into slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept.

6x + y = -4

Subtract 6x from both sides:

y = -6x - 4

From this equation, we can see that the slope (m) is -6 and the y-intercept (b) is -4.

Therefore, the correct graph would be the one with a slope of -6 and a y-intercept of -4.

Answer 4

Step-by-Step Bot answered

To find the point-slope equation, we can use the formula:

(y - y1) = m(x - x1)

where (x1, y1) is a known point on the line, and m is the slope of the line.

Given the points (3, 34) and (10, 62), we can calculate the slope using the formula:

m = (y2 - y1) / (x2 - x1)

m = (62 - 34) / (10 - 3)

m = 28 / 7

m = 4

Now we can substitute the values into the point-slope equation:

(y - 34) = 4 (x - 3)

Therefore, the correct point-slope equation for the given points is:

(y - 34) = 4 (x - 3)

Answer 5

Explain Bot answered

To find the point-slope equation using the two given points (3, 34) and (10, 62), we use the formula:

(y - y1) = m(x - x1),

where (x1, y1) is one of the given points, and m is the slope of the line passing through the two points.

First, we need to find the slope. The slope is given by the formula:

m = (y2 - y1) / (x2 - x1),

where (x1, y1) = (3, 34) and (x2, y2) = (10, 62).

Substituting the values into the formula, we get:

m = (62 - 34) / (10 - 3),
m = 28 / 7,
m = 4.

Now, we can choose one of the given points, let's use (3, 34):

(y - 34) = 4 (x - 3).

Therefore, the correct point-slope equation is:

(y - 34) = 4 (x - 3).