SAT Math · Linear equations in two variables · easy
The line kx + 3y = 15 passes through the point (3, 2). What is the value of k?
The line passes through the point . What is the value of ?
Answer and explanation
Answer: A: 3
If the line passes through , those coordinates must satisfy . Substitute and : , so , then and , choice A. Check: . Choice B (5) comes from dividing 15 by 3 without using the point. Choice C (9) is the value of , not , an unfinished last step. Choice D (1) does not work: , not 15. Substitute the point, then isolate .
More Linear equations in two variables questions
- Question 27 · easyWhat is the slope of the line 4x - 2y = 10?
- Question 57 · mediumFor every value of k, the line y = k(x-3) + 5 passes through the same fixed point, regardless of…
- Question 72 · mediumFor the line y = 2x + b, if the value of b increases by 4, how does the line's x-intercept change?
- Question 90 · mediumThe equation Ax + 4y = 12 represents a line with slope -3/2. What is the value of A?
- Question 91 · easyA line has an x-intercept of 4 and a y-intercept of -6. What is the slope of the line?
- Question 108 · easyThe equation 5x + by = 20 has a y-intercept of 4. What is the value of b?
Learn the method behind questions like this one
The SAT Math course teaches each tested skill through lessons, step-by-step solutions to sample problems, the complete study guide and full-length practice tests.