Which equation represents a line passing through the point (8, 33)(8, 33) with a slope of 3?Multiple choice question.A)y=3x – 15𝑦=3𝑥 – 15 B)y=3x + 33𝑦=3𝑥 + 33 C)y=3x – 8𝑦=3𝑥 – 8 D)y=3x + 9𝑦=3𝑥 + 9
Question
Which equation represents a line passing through the point (8, 33)(8, 33) with a slope of 3?Multiple choice question.A)y=3x – 15𝑦=3𝑥 – 15 B)y=3x + 33𝑦=3𝑥 + 33 C)y=3x – 8𝑦=3𝑥 – 8 D)y=3x + 9𝑦=3𝑥 + 9
Solution
The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
Given that the slope (m) is 3 and the line passes through the point (8, 33), we can substitute these values into the equation to find the y-intercept (b).
33 = 3*8 + b 33 = 24 + b b = 33 - 24 b = 9
So, the equation of the line is y = 3x + 9.
Therefore, the correct answer is D) y = 3x + 9.
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