SAT Math · Linear equations in two variables · medium

What is the y-intercept of the line 3x - 5y = 20?

What is the yy-intercept of the line 3x−5y=203x - 5y = 20?

Answer and explanation

Answer: B: -4

The yy-intercept occurs where x=0x = 0. Substitute: 3(0)−5y=203(0) - 5y = 20, so −5y=20-5y = 20 and y=−4y = -4, choice B. Alternatively, solve for yy: −5y=−3x+20-5y = -3x + 20, so y=35x−4y = \frac{3}{5}x - 4, and the constant term is the intercept. Choice A (20) is the constant on the right side, not the intercept. Choice C (3) is the coefficient of xx. Choice D (4) has the right size but the wrong sign, from forgetting to divide by the negative coefficient −5-5. Watch signs when dividing by a negative number.

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