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Valentin [98]
2 years ago
7

What is an equation of the line that passes through the point (6,1) and is

Mathematics
1 answer:
kramer2 years ago
3 0

Answer:

y - 1 = 3/2(x - 6)

Step-by-step explanation:

First, we need to find the slope of the given equation. Without a graph, the easiest way to do this is by isolating y.

2x + 3y = 18

3y = -2x + 18        (Subtract 2x from both sides)

y = -2/3x + 6        (Divide both sides by 3)

The slope is -2/3. Perpendicular lines have opposite reciprocal slopes, so a line perpendicular to this one would need to have a slope of 3/2. We're given a point for this line, so we can write the equation for it in point-slope form.

Point-Slope Form: y - y_{1}=m (x-x_{1})

y - 1 = 3/2(x - 6)

If necessary, this can also be written in slope-intercept form by solving for y.

You might be interested in
Find the slope of the line going through the points (0,6) and (-3,9)
andre [41]

Answer:

The slope of the line is 5.

The point slope form of the line is y=5x+6.

Step-by-step explanation:

We can find the slope using this formula: \frac{y_{2} }{x_{2} } -\frac{y_{1} }{x_{1} }

\frac{6}{0} -\frac{9}{-3} =

\frac{6}{0} -(-\frac{9}{3} )=

\frac{6}{0} +\frac{9}{3} =

\frac{15}{3} =

5

The slope of the line is 5.

To find point slope form, we use the equation y=mx+b where m is the slope and b is the y-intercept.

The y-intercept of this slope is 6 and the slope is 5 so we get, y=5x+6

7 0
3 years ago
Can someone please help
klemol [59]
You just plug in the -2 for x to get the equation -2^2–3•-2+4= 6
4 0
3 years ago
Read 2 more answers
What number can be added to 1.38 to get zero?
Effectus [21]
-1.38. Say thank you, UR WELCome
6 0
3 years ago
The equation 6y = 30 - 8x has solutions of (b, 1) and (a, b).<br> What are the values of a and b?
victus00 [196]

The values of a and b are a = \frac{3}{2} and b = 3, respectively.

In this question we need to solve the linear equation for each point, first for (x,y) = (b, 1) and later for (x,y) = (a, b).

If we know that (x,y) = (b, 1), then the value of b is:

6 = 30-8\cdot b

8\cdot b = 24

b = 3

If we know that (x,y) = (a, b) and b = 3, then the value of a is:

6\cdot b = 30 - 8\cdot a

18 = 30-8\cdot a

12 = 8\cdot a

a = \frac{3}{2}

The values of a and b are a = \frac{3}{2} and b = 3, respectively.

To learn more on linear functions, we kindly invite to check this question: brainly.com/question/5101300

6 0
2 years ago
Draw the graph of g(x) = 2x + 3, if x ≥ 1 g(x) = 5, if x &gt; 1
trapecia [35]
G(x)=2x+3
x <span>≥ 1
g(x)=5
x is bigger then 1

</span>
6 0
2 years ago
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