Write an equation in slope-intercept form of the line with the given properties. slope -3 , passes through (3,5)
A) $y = - 14 x + 3$
B) $y = - 14 x - 3$
C) $y = - 3 x - 14$
D) $y = - 3 x + 14$
E) $y = 3 x + 14$

Question

Quizplus · Accepted Answer

Using the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept, we can plug in the given values to get:
y = -3x + b
To find the value of b, we can plug in the given point (3,5):
5 = -3(3) + b
5 = -9 + b
b = 14
Therefore, the equation of the line is y = -3x + 14. Choice D is the correct answer.

Write an Equation in Slope-Intercept Form of the Line with the Given