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pashok25 [27]
2 years ago
10

What is the slope and equation of a line parallel to the x-axis passing through point (3,7)

Mathematics
1 answer:
Law Incorporation [45]2 years ago
6 0
Thats when point =0. equation of a line mx +b where m is the slope
and b is the intercept
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Write an equation in slope-intercept form for the line that passes through the point  ( -1 , -2 )  and is perpendicular to the l
mamaluj [8]

The equation in slope-intercept form for the line that passes through the point  ( -1 , -2 )  and is perpendicular to the line − 4 x − 3 y  =  − 5 is y = \frac{3}{4}x - \frac{5}{4}

<em><u>Solution:</u></em>

<em><u>The slope intercept form is given as:</u></em>

y = mx + c ----- eqn 1

Where "m" is the slope of line and "c" is the y - intercept

Given that the line that passes through the point  ( -1 , -2 )  and is perpendicular to the line − 4 x − 3 y  =  − 5

Given line is perpendicular to  − 4 x − 3 y  =  − 5

− 4 x − 3 y  =  − 5

-3y = 4x - 5

3y = -4x + 5

y = \frac{-4x}{3} + \frac{5}{3}

On comparing the above equation with eqn 1, we get,

m = \frac{-4}{3}

We know that product of slope of a line and slope of line perpendicular to it is -1

\frac{-4}{3} \times \text{ slope of line perpendicular to it}= -1\\\\\text{ slope of line perpendicular to it} = \frac{3}{4}

Given point is (-1, -2)

Now we have to find the equation of line passing through (-1, -2) with slope m = \frac{3}{4}

Substitute (x, y) = (-1, -2) and m = 3/4 in eqn 1

-2 = \frac{3}{4}(-1) + c\\\\-2 = \frac{-3}{4} + c\\\\c = - 2 + \frac{3}{4}\\\\c = \frac{-5}{4}

\text{ substitute } c = \frac{-5}{4} \text{ and } m = \frac{3}{4} \text{ in eqn 1}

y = \frac{3}{4} \times x + \frac{-5}{4}\\\\y = \frac{3}{4}x - \frac{5}{4}

Thus the required equation of line is found

8 0
2 years ago
Maurice earns a commission of 6,048 from the sale of a Lexus, priced at $50,400. What is Maurice's commission rate?
Nutka1998 [239]

Answer:

commission rate of Maurice is 12%

Step-by-step explanation:

Maurice earns commission = $6,048

Lexus priced at = $50,400

Maurice's commission rate =

=\frac {commision}{rate} \times 100

=\frac{6048}{50400} \times 100

=12 %

hence the commission rate of Maurice is 12%

8 0
3 years ago
Joan wrote a linear function.
DiKsa [7]

Answer:  look up true or false for the last answer but other than that th answer should be true

Step-by-step explanation:

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What type of function is described by the equation y=3+x?
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It’s D, I graphed on a calculator and the line was straight
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