Question

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

a) y = x + 3
b) slope = -1/2

Answer 2

(1) y = x+3

(2) Slope = -1/2

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