The slope-intercept form of a linear equation is y = mx + b, where m represents the slope and b represents the y-intercept.
From the given information, the slope is -2 and the line passes through the point (6, -8). We can use this information to find the equation of the line.
Using the point-slope form of a linear equation, which is y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line, we can substitute in the given values:
y - (-8) = -2(x - 6)
y + 8 = -2(x - 6)
Now, we can simplify and convert the equation to slope-intercept form:
y + 8 = -2x + 12
Subtract 8 from both sides:
y = -2x + 4
Therefore, the equation of the line, in slope-intercept form, is y = -2x + 4.
Write an equation of the line given the following information. Write the answer in slope-intercept form if possible.
The slope is -2, and the line passes through the point (6,-8).
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