The y-intercept and slope, respectively, of a straight line are given. Find the equation of the line.
--9 and 4
A) $y + 4 x = - 9$
B) $y = - 9 + 4 x$
C) $y = 9 + 4 x$
D) $y = - 9 x + 4$

Question

The y-intercept and slope, respectively, of a straight line are given. Find the equation of the line.
--9 and 4 
A) $y + 4 x = - 9$
B) $y = - 9 + 4 x$
C) $y = 9 + 4 x$
D) $y = - 9 x + 4$

Quizplus · Accepted Answer

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 a slope of 4 and a y-intercept of -9, the equation becomes $y = 4x - 9$, which matches choice B.

The Y-Intercept and Slope, Respectively, of a Straight Line Are y+4x=−9y + 4 x = - 9y+4x=−9

The Y-Intercept and Slope, Respectively, of a Straight Line Are $y + 4 x = - 9$