The equation of a line in slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.
Given: Slope = -4 and a point on the line (-8, 7)
To find the equation, we need to find the value of b, the y-intercept.
Using the point-slope form of a line, we have:
(y - y₁) = m(x - x₁)
Substituting the values, we get:
(y - 7) = -4(x - (-8))
Simplifying:
y - 7 = -4(x + 8)
y - 7 = -4x - 32
y = -4x - 32 + 7
y = -4x - 25
Therefore, the equation of the line with the given properties, in slope-intercept form, is y = -4x - 25.
Write the equation of the line, with the given properties, in slope -intercept form. Slope =-4, (-8,7)
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