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how to find the y intercept when it is not a whole number? (look at the graph and my question goes along with part c)

how to find the y intercept when it is not a whole number? (look at the graph and-example-1
User Pranab V V
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a. Slope is 1/3.

b. Point-slope form: y - 1 = (1/3)(x - 1).

c. Slope-intercept form: y = (1/3)x + 2/3.

d. Parallel line: y + 1 = (1/3)(x - 3).

e. Perpendicular line: y - 7 = -3(x + 2).

a. Slope of the Line:

The slope (m) is calculated using the formula: m = (change in y) / (change in x). The slope is (2 - 1) / (4 - 1) = 1/3.

b. Equation in Point-Slope Form:

Using the point-slope form y - y1 = m(x - x1) with the given point (1, 1):

y - 1 = (1/3)(x - 1).

c. Equation in Slope-Intercept Form:

Simplifying the point-slope form equation:

y = (1/3)x + 2/3.

d. Equation of Line Parallel to Given Line:

Since parallel lines have the same slope, the equation will have slope 1/3 and pass through (3, -1):

y - (-1) = (1/3)(x - 3).

e. Equation of Line Perpendicular to Given Line:

Perpendicular lines have negative reciprocal slopes. The given line's slope is 1/3, so the perpendicular slope is -3.

Using the point-slope form with (-2, 7):

y - 7 = -3(x + 2).

User Johan Nilsson
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