Question

What is the equation of the line that passes through the point left bracket, 2, comma, 6, right bracket(2,6) and has a slope of minus, one half−

2
1
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Answer 1

[AI-generated answer — Explain Bot]

To find the equation of a line, you can use the point-slope form of a linear equation, which is given by:

y - y1 = m(x - x1)

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

In this case, the point (2, 6) lies on the line, and the slope is -1/2. Plugging these values into the equation, we get:

y - 6 = (-1/2)(x - 2)

Next, we can simplify the equation:

y - 6 = (-1/2)x + 1

To put the equation into slope-intercept form (y = mx + b), we can move -6 to the other side and simplify:

y = (-1/2)x + 7

Therefore, the equation of the line that passes through the point (2,6) with a slope of -1/2 is y = (-1/2)x + 7.