The equation x - 3y = -15, when expressed in slope-intercept form, becomes y = (1/3)x + 5.
To express the equation x - 3y = -15 in slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept, we need to isolate y on one side of the equation.
Let's begin by moving the x term to the other side of the equation:
x - 3y = -15
Subtracting x from both sides, we have:
-3y = -x - 15
Next, we divide both sides by -3 to isolate y:
y = (1/3)x + 5
Now, the equation is in slope-intercept form. The coefficient of x, which is (1/3), represents the slope of the line. In this case, the slope is positive (1/3), indicating that as x increases by 1 unit, y increases by (1/3) unit. The y-intercept, which is the value of y when x is 0, is 5. This means the line crosses the y-axis at the point (0, 5).
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