Question

A line passes through the point 1, 8 and has a slope of -6.

Write an equation in slope-intercept form for this line.
Answer
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Answered by GPT 3.5
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is -6 and the point (1, 8) lies on the line, so we can use this information to find the y-intercept:

y = -6x + b

To find b, we substitute the coordinates of the point (1, 8) into the equation:

8 = -6(1) + b
8 = -6 + b
b = 8 + 6
b = 14

Therefore, the equation in slope-intercept form for the line passing through the point (1, 8) with a slope of -6 is:

y = -6x + 14
Answered by GPT 3.5
Apologies for the mistake in my initial response. Let's try again.

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is -6 and the point (1, 8) lies on the line, so we can use this information to find the y-intercept:

We know that y = -6x + b.

To find b, we substitute the coordinates of the point (1, 8) into the equation:

8 = -6(1) + b
8 = -6 + b
b = 8 + 6
b = 14

Therefore, the equation in slope-intercept form for the line passing through the point (1, 8) with a slope of -6 is:

y = -6x + 14