Answer:
The first answer is correct
Step-by-step explanation:
y = mx + b is the slope intercept form of a line
15x - 5y = 30 Subtract 15x from both sides
-5y = -15x + 60 Divide both sides by -5
y = 3x -6 The -6 is your y-intercept. It is the point (0.-6) We could stop here because that is the only choice that shows (0,-6), but let's find the x intercept.
The x-intercept is when y = 0
y = 3x -6
0 = 3x - 6 Add 6 to both sides
6 = 3x Divide both side by 3
2 = x This is the point (2,0)
We could have taken the original equation and set x=0 and y=0
15x - 5y = 30
15(0) - 5y = 30
-5y = 30 Divide both sides by -5
y = -6
15x -5y = 30
15x - 5(0) = 30
15x = 30 Divide both sides by 15
x = 2
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