What is the equation of the line whose y-intercept is 3 and slope is 1? y = x - 3 y = x 3 y = 3x 1 user: what is the slope of a line perpendicular to the line whose equation is y = 2x 5? slope = -1 slope = -1/2 slope = -2
Answer:
(1) y = x+3
(2) Slope = -1/2
Step-by-step explanation:
(1)
Given that,
y-intercept = 3
slope = 1
Slope intercept form of a line is y = mx +b, where m is the slope and b is the y-intercept.
Thus, we have
b = 3
m = 1
Hence, the equation of the line is
y = 1x+3
y = x+3
(2)
The equation of line is y = 2x +5
The slope of the line is m = 2
Now, we know that the slope of two perpendicular lines are negative reciprocal to each other.
Hence, the slope of the perpendicular line is -1/2