###### Asked in Math and ArithmeticAlgebraCalculus

Math and Arithmetic

Algebra

Calculus

# What is the y-intercept of the line given by 2x 5y -10?

## Answer

###### Wiki User

###### May 14, 2012 9:18AM

If you mean 2x+5y = -10 then the y intercept is -2

## Related Questions

###### Asked in Math and Arithmetic, Algebra, Geometry

### What is the perpendicular distance from the point 2 4 to the straight line y equals 2x plus 10?

It is 2√5 ≈ 4.47 units.
To solve this:
Find the equation of the line perpendicular to y = 2x + 10 that
passes through the point (2, 4);
Find the point where this line meets y = 2x + 10
Find the distance from this point to (2, 4) using
Pythagoras
The slope of the perpendicular line (m') to a line with slope m
is such that mm' = -1, ie m' = -1/m
For y = 2x + 10, the perpendicular line has slope -1/2, and so
the line that passes through (2, 4) with this slope is given
by:
y - 4 = -½(x - 2)
→ 2y - 8 = -x + 2
→ 2y + x = 10
To find where this meets the line y = 2x + 10, substitute for y
in the equation of the perpendicular line and solve for x:
y = 2x + 10
2y + x = 10
→ 2(2x + 10) + x = 10
→ 4x + 20 + x = 10
→ 5x = -10
→ x = -2
Now use one of the equations to solve for y:
y = 2x + 10
→ y = 2(-2) + 10
→ y = -4 + 10 = 6
This the perpendicular line from (2, 4) meets the line y = 2x +
10 at the point (-2, 6)
The distance between these two points is given by:
distance = √((-2 - 2)² + (6 - 4)²) = √(16 + 4) = √20 = 2√5 ≈
4.47 units

###### Asked in Math and Arithmetic, Algebra, Geometry

### How do you find the slope and y-intercept for y equals 2x-10?

This is the equation of a straight line, and the form it's in is
what they call the "standard form",
where the slope and intercept of the line are as plain as my
nose.
The standard form is:
Y = (this number is the slope) X +
(this number is the y-intercept)
In the equation given, y = 2x - 10 ,
slope = 2
y-intercept = -10

###### Asked in Math and Arithmetic, Algebra, Geometry

### Can you find the x-intercept -2x - y equals -10?

To find your answer, it is easiest to first put the equation of
this line in slope-intercept form:
-2x-y=-10 (+2x to both sides)
-y=2x-10 (divide both sides by -1)
y=-2x+10
Now, to find the x-intercept of a line in slope-intercept form,
enter 0 for the y-coordinate in the (X,Y) pair.
0=-2x+10 (subtract 10 from both sides)
-10 = -2x (divide both sides by -2)
x=5
Put in coordinate form, the answer would be (5,0)

###### Asked in Algebra, Math and Arithmetic, Geometry

### A line is perpendicular to 2X - y 3 and its y-intercept -2 what is the equation of the line?

Perpendicular would mean that the slope of both lines have to be
the same. The slope of the given line is 2, so the equation of the
other line is of the form
y=2x+c
with c some constant.
Since it is given that the intercept of the second line is -2,
we know that
-2 = 0.x + c
which gives us
c = -2
Using this, we can see that the equation of the perpendicular
line is
y=2x-2

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