Question

Which equation represents the line that passes through the points (-3, 7) and (9, -1)?

2
Oy--x+5
y=-
oy--3-7
oy-²x-7
oy-x+5
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Answer 1

The equation of the line that passes through the points (-3, 7) and (9, -1) is y = -2/3x + 5

Step-by-step explanation:

The line that passes through the points (-3, 7) and (9, -1) can be represented by the equation:

y = mx + b

To find the equation, we need to find the slope (m) and the y-intercept (b).

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

m = (-1 - 7) / (9 - (-3))

m = -8 / 12 = -2/3

Y-intercept: b = y - mx

Using the point (-3, 7), we have:

b = 7 - (-2/3 * -3)

b = 7 - 2 = 5

Therefore, the equation of the line is y = -2/3x + 5.

Learn more about Equation of a line in slope-intercept form