Question

Line M passes through the points (-5, 8) and (-1, 9) what is true of line M

Answer 1

The equation of the line is:

• 
  `y=(1)/(4)x+(37)/(4)`

Explanation:

Given the points

• (-5, 8)

• (-1, 9)

Finding the slope between the points

`\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)`

`\left(x_1,\:y_1\right)=\left(-5,\:8\right),\:\left(x_2,\:y_2\right)=\left(-1,\:9\right)`

`m=(9-8)/(-1-\left(-5\right))`

`m=(1)/(4)`

Using the point-slope form of the line equation

`y-y_1=m\left(x-x_1\right)`

substituting the values m = 1/4 and the point (-5, 8)

`y-8=(1)/(4)\left(x-\left(-5\right)\right)`

`y-8=(1)/(4)\left(x+5\right)`

Add 8 to both sides

`y-8+8=(1)/(4)\left(x+5\right)+8`

`y=(1)/(4)x+(37)/(4)`

Thus, the equation of the line is:

• 
  `y=(1)/(4)x+(37)/(4)`