Question

Write the equation of the line in slope-intercept form.

Answer 1

• y = (- 3/4)x + 8

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Slope-intercept form is:

• y = mx + b, where, m - is the slope, b - is the y-intercept

Use two points on the line:

• (0, 8) and (4, 5)

The first point represents the y-intercept, b = 8.

Find the slope, using the slope equation:

• m = (y₂ - y₁)/(x₂ - x₁)
• m = (5 - 8)/(4 - 0) = -3/4

Substitute the found values to get the equation of the line:

• y = (- 3/4)x + 8