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6. Find the equation of the line that has slope m =
(1)/(2) and passes through (4, 10).

Give your answer in slope-intercept form.

User NawaMan
by
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1 Answer

4 votes

Explanation:

We can use the point-slope form of the equation of a line to solve this problem. The point-slope form is:

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, we know that m = 1/2 and the line passes through the point (4, 10). So we can substitute these values into the point-slope form to get:

y - 10 = (1/2)(x - 4)

Simplifying this equation, we can multiply both sides by 2 to eliminate the fraction:

2y - 20 = x - 4

Adding 4 to both sides, we get:

2y - 16 = x

or

x - 2y + 16 = 0

So the equation of the line with slope m = 1/2 and passing through (4, 10) is x - 2y + 16 = 0.

User Alan Yu
by
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