Question

What is the slope-intercept form of a line that passes through points (2, 11) and (4, 17)?
y = negative 3 x minus 5
y = 3 x minus 5
y = negative 3 x + 5
y = 3 x + 5What is the slope-intercept form of a line that passes through points (2, 11) and (4, 17)?
y = negative 3 x minus 5
y = 3 x minus 5
y = negative 3 x + 5
y = 3 x + 5

Answers

GPT 3.5
To find the slope-intercept form of a line passing through two points, we first need to find the slope using the formula:

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

Using the points (2, 11) and (4, 17):
m = (17 - 11) / (4 - 2)
m = 6 / 2
m = 3

Now that we have the slope, we can use the point-slope form of a linear equation (y - y1 = m(x - x1)) and choose one of the points to substitute in.

Using point (2, 11):
y - 11 = 3(x - 2)
y - 11 = 3x - 6
y = 3x + 5

Therefore, the slope-intercept form of the line passing through points (2, 11) and (4, 17) is y = 3x + 5.

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