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
Answer:
-2
Step-by-step explanation:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] 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)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (0,-2) and (3,0)
[tex]m=\frac{0-(-2)}{3-0}\\m=\frac{0+2}{3}\\m=\frac{2}{3}[/tex]
Therefore, the slope of of the line is [tex]\frac{2}{3}[/tex]. Plug this into [tex]y=mx+b[/tex] as m:
[tex]y=\frac{2}{3} x+b[/tex]
2) Find the y-intercept (b)
[tex]y=\frac{2}{3} x+b[/tex]
Plug in one of the given points: (0,-2) or (3,0)
[tex]0=\frac{2}{3} (3)+b\\0=2+b\\b=-2[/tex]
Therefore, the y-intercept of the line AB is -2.
I hope this helps!
