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Answer:
y = [tex]\frac{10}{3}[/tex]x - 5
Step-by-step explanation:
To find the slope of a line passing through two points, we can use the formula for slope:
Slope = (y2 - y1) / (x2 - x1)
m = (5 - (-5)) / (3 - 0) = 10/3
Y-intercept = (0,-5)
The slope-intercept form is y = mx + b
m = the slope
b = y-intercept
Our equation:
y = [tex]\frac{10}{3}[/tex]x - 5
So, the answer is y = [tex]\frac{10}{3}[/tex]x - 5.