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What is the equation of the line that passes through the point (-4,4) and has a slope of -2 ? Answer:

What is the equation of the line that passes through the point (−4,4) (-4,4) and has a slope of −2-2 ?\newlineAnswer:

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Q. What is the equation of the line that passes through the point (−4,4) (-4,4) and has a slope of −2-2 ?\newlineAnswer:
  1. Identify slope and point: Identify the slope mm and the point (x,y)(x, y) through which the line passes.\newlineWe have the slope m=−2m = -2 and the point (−4,4)(-4, 4).
  2. Use point-slope form: Use the point-slope form of the equation of a line to plug in the values.\newlineThe point-slope form is y−y1=m(x−x1)y - y_1 = m(x - x_1), where (x1,y1)(x_1, y_1) is the point the line passes through.\newlineLet's plug in the values: y−4=−2(x−(−4))y - 4 = -2(x - (-4)).
  3. Simplify equation to slope-intercept form: Simplify the equation from the point-slope form to the slope-intercept form y=mx+by = mx + b.y−4=−2(x+4)y - 4 = -2(x + 4)y−4=−2x−8y - 4 = -2x - 8Now, add 44 to both sides to solve for yy.y=−2x−8+4y = -2x - 8 + 4y=−2x−4y = -2x - 4

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