All categories

3 years ago

Graph the line with the equation y = 3-5x -4

Mathematics

1 answer:

Eddi Din [679]3 years ago

4 0

Answer:

Step-by-step explanation:

You might be interested in

What is the equation, in slope-intercept form, of the line

Sati [7]

Given:

Given that the graph of the equation of the line.

The line that is perpendicular to the given line and passes through the point (2,-1)

We need to determine the equation of the line perpendicular to the given line.

Slope of the given line:

The slope of the given line can be determined by substituting any two coordinates from the line in the slope formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting the coordinates (-1,3) and (2,2), we get;

$m_1=\frac{2-3}{2+1}$

$m_1=-\frac{1}{3}$

Thus, the slope of the given line is $m_1=-\frac{1}{3}$

Slope of the perpendicular line:

The slope of the perpendicular line can be determined by

$m_2=-\frac{1}{m_1}$

Substituting $m_1=-\frac{1}{3}$ , we get;

$m_2=-\frac{1}{-\frac{1}{3}}$

simplifying, we get;

$m_2=3$

Thus, the slope of the perpendicular line is 3.

Equation of the perpendicular line:

The equation of the perpendicular line can be determined using the formula,

$y-y_1=m(x-x_1)$

Substituting $m=3$ and the point (2,-1) in the above formula, we have;

$y+1=3(x-2)$

$y+1=3x-6$

$y=3x-7$

Thus, the equation of the perpendicular line is $y=3x-7$

Hence, Option d is the correct answer.

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7D%20%20%2B%20%20%5Cfrac%7B1%7D%7B3%7D%20" id="TexFormula1" title="\frac{3}

Scrat [10]

The answer would be 14/15

Find a common denominator that both of the fractions can use. An easy way to do this is simply multiply the denominators together. So for 3/5 you would multiply by 3 to get the fraction 9/15 and then multiply 1/3 by 5 to get 5/15. Add both 9/15 and 5/15 to then get 14/15.

4 0

2 years ago

Read 2 more answers

A rectangle has a height of 5m^4 and a width of m^2-2m-1.

vovangra [49]

Step-by-step explanation:

Area of rectangle= lw

$= 5 {m}^{4} \times ( {m}^{2} - 2m - 1) \\ = 5 {m}^{6} - 10 {m}^{5} - 5 {m}^{4} \\$