Answer:
[tex] y = -3 [/tex]
Step-by-step explanation:
Given:
(-2,-3);
(3,-3)
Required:
Equation of the line that passes through both points on a graph
SOLUTION:
Equation of the line can be represented in slope-intercept form as [tex] y = mx + b [/tex]
Where,
m = slope of the line. Since the line is horizontal, the slope is 0 as with all horizontal lines. Therefore, m = 0
b = y-intercept value, which is the point at which the line intercepts the y-axis. the line intercepts the y-axis at -3. Therefore, b = -3.
Now, substitute m = 0 and b = -3 into [tex] y = mx + b [/tex]
[tex] y = (0)x + (-3) [/tex]
[tex] y = 0 - 3 [/tex]
[tex] y = -3 [/tex]