Question

Write the equation of the line that passes through the points (−8,4) and (−3,7). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answer 1

`y = (3)/(5) x + 8 (4)/(5)`

Explanation:

Point slope form

y=mx +c, where m is the gradient and c is the y-intercept.

To find the gradient, use the formula below:

`gradient = (y1 - y2)/(x1 - x2)`

`m = (7 - 4)/( - 3 - ( - 8)) \\ m = (3)/( - 3 + 8) \\ m = (3)/(5)`

Substitute the value of m into the equation

`y = (3)/(5) x + c`

To find c, substitute a coordinate into the equation.

When x= -3, y=7,

`7 = (3)/(5)( - 3) + c \\ 7 = - (9)/(5) + c \\ c = 7 + (9)/(5) \\ c = 8 (4)/(5)`

Thus, the equation of the line is