Question

A LINE PASSES THROUGH THE POINTS. what is the EQUATION OF THE LINE? (2,-4) and (6,10)?

Answer 1

Hey there! :)

Answer:

y = 7/2x - 11

Explanation:

Use the slope formula to calculate the slope:

`m = \frac{\text{rise}}{\text{run}} = (y_2 - y_1)/(x_2 - x_1)`

Plug in the coordinates:

`m = (10-(-4))/(6-2)`

Simplify:

`m= (14)/(4)`

`m = (7)/(2)`

Slope-intercept form is y = mx + b. Plug in the slope, as well as the coordinates of a point given to solve for b:

10 = 7/2(6) + b

10 = 42/2 + b

10 = 21 + b

10 - 21 = b

b = -11.

Write the equation:

y = 7/2x - 11