Question

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

Answer 1

Answer:

the y intercept is (0, 3)

Step-by-step explanation:

y = mx + c

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

$m = \frac{y_2 - y_1}{x_2 - x_1 }$

$m = \frac{9 - -1}{-3 - 2 }$

$m = \frac{10}{-5}$

$m = -2$

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