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

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

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pinquancaro pinquancaro · Answer 2 · 2019-09-18T06:29:43+02:00

Answer:

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

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

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 [tex]y=mx+c[/tex]

Where, m is the slope m=1

and c is the y-intercept c=3

Substitute in the equation of line,

[tex]y=(1)x+3[/tex]

[tex]y=x+3[/tex]

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

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

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 [tex]-\frac{1}{2}[/tex]

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