What is the right choice for question 7) ?

http://postimg.org/image/z4jswp8tv/

### 2 Answers | Add Yours

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.`

### Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes