Point-Slope Form of a Line — Quiz

Question 2 • *KCPS Algebra I (2027)

Which graph matches the equation y plus 6 is equal to 3 fourths times open paren x plus 4 close paren ?

Answer

Image with description On a coordinate plane, the x-axis ranges from negative 10 to 10 in increments of 2, and the y-axis ranges from negative 10 to 10 in increments of 2. A straight line goes through the point labeled negative 4 comma negative 6, the point labeled 0 comma negative 3, and the point labeled 4 comma 0.

Image with description On a coordinate plane, the x-axis ranges from negative 10 to 10 in increments of 2, and the y-axis ranges from negative 10 to 10 in increments of 2. A straight line goes through the point labeled negative 6 comma negative 4, the point labeled 0 comma negative 8.5, and the point labeled 2 comma negative 10.

Image with description On a coordinate plane, the x-axis ranges from negative 10 to 10 in increments of 2, and the y-axis ranges from negative 10 to 10 in increments of 2. A straight line goes through the point labeled negative 6 comma negative 4, the point labeled 0 comma 0.5, and the point labeled 6 comma 5.

Explanation

Rewrite the equation as y + 6 = (3/4)(x + 4). This is point-slope form, so the line passes through (-4, -6) and has slope 3/4. Moving 4 units right raises y by 3, giving the point (0, -3), which matches choice A.

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