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a) The point-slope form of the equation of a line through point (h, k) with slope m is
y - k = m(x - h)
In point-slope form, the equation of the line through (-3, -7) with slope -6/5 is
y + 7 = (-6/5)(x + 3)
b) The graph of
y = |x|-4
represents a translation downward 4 units of the graph of
y = |x|
It retains the same general shape and axis of symmetry, but will have two (2) x-intercepts instead of one (1).
y - k = m(x - h)
In point-slope form, the equation of the line through (-3, -7) with slope -6/5 is
y + 7 = (-6/5)(x + 3)
b) The graph of
y = |x|-4
represents a translation downward 4 units of the graph of
y = |x|
It retains the same general shape and axis of symmetry, but will have two (2) x-intercepts instead of one (1).
Answer:
y = --0.25x + 1
Step-by-step explanation:
In order to find the equation of a line, you must first find the slope of the line.
The equation to find slope is .
Plug in the given points:
(x2, y2) = (-8,3)
(x1, y1) = (-4,2)
(y2 - y1) / (x2 - x1) = (3-1)/ (-8 - -4) = (3-2) / (-8 + 4) = 1/-4 = -0.25
Next, you solve for the y-intercept using one of the two coordinates:
y = -0.25x + b
2 = -0.25(-4) + b
2 = 1 + b
b = 2 - 1 = 1
y = -0.25x + 1