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 = mx + c

y = 1x + 3

y = x + 3

b)
y =  2x   ?   5            comparing to y = mx + c,   slope = m

slope = 2.

But for a perpendicular line, we take the negative reciprocal,

= -1/2   =   -1/2

Answer 2

Answer:

1) The equation of the line whose y-intercept is 3 and slope is 1 is given by $y=x+3$

2) The slope of a line perpendicular to the line whose equation is  $y=2x+5$ is  $-\frac{1}{2}$

Step-by-step explanation:

1) To find : What is the equation of the line whose y-intercept is 3 and slope is 1?

Solution :

The general slope form of the line is $y=mx+c$

Where, m is the slope m=1

and c is the y-intercept c=3

Substitute in the equation of line,

$y=(1)x+3$

$y=x+3$

Therefore, The equation of the line whose y-intercept is 3 and slope is 1 is given by $y=x+3$

2) To find : What is the slope of a line perpendicular to the line whose equation is $y = 2x+5$?

Solution :

When two lines are perpendicular the slope of one equation is negative reciprocal of another slope of equation.

The slope of given equation is 2.

The negative reciprocal is $-\frac{1}{2}$

Therefore, The slope of a line perpendicular to the line whose equation is  $y=2x+5$ is  $-\frac{1}{2}$