Question

The coordinates of the points A and B are (0,-2) and (3,0), what is the y intercept of the line AB

Answer 1

Answer:

-2

Step-by-step explanation:

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis). To solve this question, first, find the slope, then, plug one of the given points into the equation to isolate b.

1) Find the slope (m)

$m=\frac{y_2-y_1}{x_2-x_1}$ where the given points are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in the given points (0,-2) and (3,0)

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

Therefore, the slope of of the line is $\frac{2}{3}$. Plug this into  $y=mx+b$ as m:

$y=\frac{2}{3} x+b$

2) Find the y-intercept (b)

$y=\frac{2}{3} x+b$

Plug in one of the given points: (0,-2) or (3,0)

$0=\frac{2}{3} (3)+b\\0=2+b\\b=-2$

Therefore, the y-intercept of the line AB is -2.

I hope this helps!

Answer 2

Answer:

The y-intercept of points A and B is -2.

Step-by-step explanation:

Point A is the y-intercept. You can tell by looking at the x and seeing that it is 0. This means the point is the y-intercept.

Hope this helps!

-Luna