a line passes through the point (0, -1) and has a positive slope. which of these points could that line pass…

a line passes through the point (0, -1) and has a positive slope. which of these points could that line pass through? check all that apply.\n(12, 3)\n(-2, -5)\n(-3, 1)\n(1, 15)\n(5, -2)

a line passes through the point (0, -1) and has a positive slope. which of these points could that line pass through? check all that apply.\n(12, 3)\n(-2, -5)\n(-3, 1)\n(1, 15)\n(5, -2)

Answer

Explanation:

Step1: Recall slope - formula

The slope formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Given $(x_1,y_1)=(0, - 1)$.

Step2: Check point $(12,3)$

$m=\frac{3-(-1)}{12 - 0}=\frac{3 + 1}{12}=\frac{4}{12}=\frac{1}{3}>0$.

Step3: Check point $(-2,-5)$

$m=\frac{-5-(-1)}{-2 - 0}=\frac{-5 + 1}{-2}=\frac{-4}{-2}=2>0$.

Step4: Check point $(-3,1)$

$m=\frac{1-(-1)}{-3 - 0}=\frac{1 + 1}{-3}=-\frac{2}{3}<0$.

Step5: Check point $(1,15)$

$m=\frac{15-(-1)}{1 - 0}=\frac{15 + 1}{1}=16>0$.

Step6: Check point $(5,-2)$

$m=\frac{-2-(-1)}{5 - 0}=\frac{-2 + 1}{5}=-\frac{1}{5}<0$.

Answer:

$(12,3),(-2,-5),(1,15)$