Hi there!
»»————- ★ ————-««
Please see the explanation below.
»»————- ★ ————-««
Explanation:
Recall the meanings of the variables in the slope-intercept equation.
⸻⸻⸻⸻
[tex]\boxed{\text{\underline{Slope Intercept Form:}}}\\\\y=mx+b\\---------------\\\boxed{\text{Key:}}\\\\\rightarrow \text{m - slope}\\\rightarrow \text{b - y - intercept}[/tex]
⸻⸻⸻⸻
- We already have one point given, the y-intercept. The y-intercept of a line when given a slope intercept form equation is: [tex](0, b)[/tex]
- Using the example, we would graph the point (0,5) as our first point.
⸻⸻⸻⸻
- To graph the second point, we need to understand the meaning of slope. The slope of a line can be remembered as 'rise over run'.
- The slope for the given equation is -3.
- This means we would have to go three units down and then one unit right from the y-intercept. Our new point would be (1,2).
⸻⸻⸻⸻
- The result should be the graph attached.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
