Jessica knows that she should spend no more than 1/3 of her income on her rent. She really wants to move into a condo downtown a
1 answer:
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<span>Left & Right affect the h,
Up & Down affect the k,
Shrink & Stretch affect the "a" (which is in front of the absolute value expression).
1. shift 1 unit to the right and up 2 units → y = |x-1| + 2
2. </span><span>shift 3 units to the left and 7 units down → y = |x + 7| - 7
3. </span><span>vertical shrink by a factor of 1/3 → y =
|x|
4. </span><span>vertical stretch by a factor of 3 → y = </span><span>3 |x|</span>
Up & Down affect the k,
Shrink & Stretch affect the "a" (which is in front of the absolute value expression).
1. shift 1 unit to the right and up 2 units → y = |x-1| + 2
2. </span><span>shift 3 units to the left and 7 units down → y = |x + 7| - 7
3. </span><span>vertical shrink by a factor of 1/3 → y =
4. </span><span>vertical stretch by a factor of 3 → y = </span><span>3 |x|</span>
Part 1: The equation of the line is
Part 2: The equation of the line in slope intercept form is
Explanation:
Part 1: It is given that the point A is and the line B is
To determine the line passing through the point A and parallel to line B, let us first determine the slope and y-intercept.
From the equation of line B, the slope is
Substituting the point and
in slope intercept form
, we have,
Thus, the y-intercept is
Let us substitute the values and
in the slope intercept form
, we get,
Thus, the equation of the line passing though point A and parallel to line B is
Part 2: The given two coordinates are and
To determine the equation of line in slope intercept form, first we shall find the slope and y-intercept.
From the graph, we can see that the line touches the y-axis at -1.
Hence, the y-intercept is
The formula for slope is
Substituting the coordinates and
, we have,
Thus, the slope is
Substituting the values and
in the slope intercept formula
, we get,
Thus, the equation of the line in slope intercept form is