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laila [671]
3 years ago
5

Line A has an equation of y=-2/5x + 3. What is the slope of a line perpendicular

Mathematics
1 answer:
Nat2105 [25]3 years ago
5 0

Answer:

\frac{5}{2}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - \frac{2}{5} x + 3 ← is in slope- intercept form

with slope m = - \frac{2}{5}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{2}{5} } = \frac{5}{2}

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3 years ago
a line passes through point (-2,5) and has a slope of 2/3 points a (x,3) and b ( -2, y) lie on the line what is the value of y a
Tomtit [17]

Answer:

The value of y is 5 , and The value of x is - 5

Step-by-step explanation:

Given as :

The line passes through point ( - 2, 5)

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y - y_1 = m × (x - x_1)

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So, y - 5 =   \frac{2}{3}  × (x + 2)

Or, 3 × ( y - 5 ) = 2 × ( x + 2 )

Or, 3 y - 15 = 2 x + 4

Or, 3 y - 2 x - 19 = 0 is the equation of line

Now points ( x , 3 ) lies on the line 3 y - 2 x - 19 = 0

So, 3 × 3 - 2 x - 19 = 0

or, 9 - 2 x - 19 = 0

or, 2 x = - 10

∴  x = - \frac{10}{2}

I.e x = - 5

Again points ( - 2 , y )  lies on the line 3 y - 2 x - 19 = 0

So, 3 × y + 2 × 2 - 19 = 0

Or,  3 × y + 4 -19 = 0

or, 3 y = 15

∴  y = \frac{15}{3}

I.e y = 5

Hence The value of y is 5 , and The value of x is - 5   .  Answer

8 0
3 years ago
Help!!! Choose the product . - 6p ^ 3 * (3p ^ 2 + 5p - 1)
Lunna [17]

Answer:

-18p^{5} -30p^{4} +6p^{3}

Step-by-step explanation:

(-6p^{3} )(3p^2+5p-1)

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-18p^{5} -30p^{4} +6p^{3}

<em>hope this helps.....</em>

8 0
3 years ago
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