What is the right choice for question 7) ?
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The equation of the line with slope -3 and on which the point (1,4) lies has to be determined.
The required equation is:
(y - 4)/(x - 1) = -3
=> y - 4 = -3x + 3
=> 3x + y - 7 = 0
The equation of the line with slope -3 and on which the point (1,4) lies is 3x + y - 7 = 0
You need to use the point slope form of equation of the line, such that:
`y - y_0 = m(x - x_0)`
Since the problem provides the coordinates of the point, `x_0 = 1, y_0 = 4` and the value of the slope, `m = -3` , you need to substitute the values in equation above, such that:
`y - 4 = -3(x - 1) => y = -3x + 3 + 4 => y = -3x + 7`
Hence, evaluating the equation of the line that contains the point `(1,4) ` and has a slope 0f -3, yields `y = -3x + 7` , thus you need to select the answer `b)-3x + 7.`
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