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Write the point-slope form of the equation of the line.

11) through: (6, 4); slope =1/2
12) through: (-7, 8) and (-3, 9)

User Lsp
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The point-slope form of a line's equation 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.

The point (6, 4) and the slope of 1/2 can be used to write the equation of the line in point-slope form:
y - 4 = 1/2(x - 6)

To find the equation of a line given two points, we can find the slope of the line using the formula: m = (y2 - y1) / (x2 - x1). With the points (-7, 8) and (-3, 9), we can calculate the slope:
m = (9 - 8) / (-3 - (-7)) = 1 / 4

Next, we can use one of the points and the slope to write the equation in point-slope form:

y - 8 = 1/4 (x + 7)

or

y - 9 = -1/4 (x + 3)
User Cotten
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