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Slope-Intercept Form-Item 35343

y=8x-2
The graph of a line passes through the points (0, 8) and (4, 0). What is the equation
y=2x+2
y=-2x+8
y=-2x+4

User Loghman
by
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1 Answer

5 votes

Answer: y = -2x + 8.

Explanation:

To find the equation of the line that passes through the points (0, 8) and (4, 0), we can use the slope-intercept form of a linear equation, which is y = mx + b, where m represents the slope and b represents the y-intercept.

First, we need to find the slope of the line. The slope (m) can be calculated using the formula:

m = (y₂ - y₁) / (x₂ - x₁),

where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

Using the points (0, 8) and (4, 0), we can substitute the values into the formula:

m = (0 - 8) / (4 - 0)

m = -8 / 4

m = -2

Now that we have the slope, we can substitute it into the slope-intercept form and solve for the y-intercept (b). Using the equation y = mx + b, and substituting the slope (-2) and the coordinates (0, 8) of one of the points:

8 = -2(0) + b

8 = b

Therefore, the equation of the line that passes through the points (0, 8) and (4, 0) is y = -2x + 8.

User Muhammad Ahmod
by
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