Write the slope-intercept equation (y = mx + b) for a line with the given characteristics.
-m = 3, passing through (1, -2)
A) y = 3x - 5
B) y = 3x
C) y = 5x - 3
D) y - 5 = 3x

Question

Quizplus · Accepted Answer

Using the point-slope formula: y - y1 = m(x - x1) where (x1, y1) = (1, -2) and m = 3,
y - (-2) = 3(x - 1)
y + 2 = 3x - 3
y = 3x - 5
Thus, the slope-intercept equation is y = mx + b where m = 3 and b = -5, giving us choice A. Using the slope-intercept form (y = mx + b), we can plug in the given slope (m = 3) and the coordinates of the given point (1, -2) to solve for the y-intercept (b):
-2 = 3(1) + b
b = -5
Thus, the equation of the line is y = 3x - 5, which is choice A.

Write the Slope-Intercept Equation (Y = Mx + B) for a Line