Genevieve wants to verify that negative x is the simplified expression of one-fifth (5 x minus 20) minus one-half (4 x minus 8).
1 answer:
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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