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3 years ago

Determine the y- intercept of 3x+2y=9

Mathematics

2 answers:

evablogger [386]3 years ago

8 0

Answer:

The y intercept is (0,4.5)

Step-by-step explanation:

Because the y-intercept occurs at x = 0, we can substitute this into our equation and solve for y.

3(0) +2y = 9

2y = 9

y=4.5

Natalka [10]3 years ago

4 0

Answer:

$\boxed{(0 , 4.5)}$

Step-by-step explanation:

→ Rearrange into y = mx + c format

2y = - 3x + 9

→ Divide everything by 2

y = -1.5x + 4.5

→ Substitute x = 0

y = 0 + 4.5 ⇒ 4.5

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2 years ago

What is the linear function equation represented by the graph?<br><br><br> f(x)=______________

Katen [24]

The linear function equation represented by the graph is $\boxed{y = - \frac{1}{2}x + 1}.$

Further explanation:

The linear equation with slope $m$ and intercept $c$ is given as follows.

$\boxed{y = mx + c}$

The formula for slope of line with points $\left( {{x_1},{y_1}} \right)$ and $\left( {{x_2},{y_2}} \right)$ can be expressed as,

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

Given:

Explanation:

From the graph it has been observed that the line passes through the points $\left( {0,1} \right)$ and $\left( {2,0} \right).$

The line intersect y-axis at $\left( {0,1} \right).$

Therefore, the y-intercept is 1.

The line the line passes through the points $\left( {0,1} \right)$ and $\left( {2,0} \right).$

The slope can be obtained as follows,

$\begin{aligned}m&=\frac{{0 - 1}}{{2 - 0}}\\&= \frac{{ - 1}}{2}\\\end{aligned}$

The slope of the line is $- \dfrac{1}{2}.$

Substitute $- \dfrac{1}{2}$ for m and 1 for c in equation $y = mx + c$ to obtain the equation of the line.

$y = - \dfrac{1}{2}x + 1$

The linear function equation represented by the graph is $\boxed{y = - \frac{1}{2}x + 1}.$

Learn more:

Learn more about inverse of the function brainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: graph function, numbers, slope, slope intercept, equation, linear inequality, shaded region, y-intercept, graph, representation, origin.

6 0

2 years ago

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