Question

What is the y-intercept of the line that passes through the points (2, -1) and
(-3, 9)?

Answer 1

the y intercept is (0, 3)

Explanation:

y = mx + c

where m is the slope and c is the y-intercept

`m = (y_2 - y_1)/(x_2 - x_1 )`

`m = (9 - -1)/(-3 - 2 )`

`m = (10)/(-5)`

`m = -2`

hence, y = -2x + c

input a pair of values, in this case i will use (2, -1)

-1 = -2(2) + c

-1 = -4 + c

-1 + 4 = c

3 = c