Graph 4x+y=25

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Graph 4x+y=25

$4 x + y = 25$

Subtract $4 x$ from both sides of the equation.

$y = 25 - 4 x$

Rewrite in slope-intercept form.

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The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Reorder $25$ and $- 4 x$ .

$y = - 4 x + 25$

Use the slope-intercept form to find the slope and y-intercept.

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Find the values of $m$ and $b$ using the form $y = m x + b$ .

$m = - 4$

$b = 25$

The slope of the line is the value of $m$ , and the y-intercept is the value of $b$ .

Slope: $- 4$

y-intercept: $(0, 25)$

Slope: $- 4$

y-intercept: $(0, 25)$

Any line can be graphed using two points. Select two $x$ values, and plug them into the equation to find the corresponding $y$ values.

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Find the x-intercept.

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To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

$0 = 25 - 4 x$

Solve the equation.

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Rewrite the equation as $25 - 4 x = 0$ .

$25 - 4 x = 0$

Subtract $25$ from both sides of the equation.

$- 4 x = - 25$

Divide each term by $- 4$ and simplify.

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Divide each term in $- 4 x = - 25$ by $- 4$ .

$\frac{- 4 x}{- 4} = \frac{- 25}{- 4}$

Cancel the common factor of $- 4$ .

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Cancel the common factor.

$\frac{- 4 x}{- 4} = \frac{- 25}{- 4}$

Divide $x$ by $1$ .

$x = \frac{- 25}{- 4}$

Dividing two negative values results in a positive value.

$x = \frac{25}{4}$

x-intercept(s) in point form.

x-intercept(s): $(\frac{25}{4}, 0)$

Find the y-intercept.

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To find the y-intercept(s), substitute in $0$ for $x$ and solve for $y$ .

$y = 25 - 4 \cdot 0$

Solve the equation.

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Remove parentheses.

$y = 25 - 4 \cdot 0$

Simplify $25 - 4 \cdot 0$ .

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Multiply $- 4$ by $0$ .

$y = 25 + 0$

Add $25$ and $0$ .

$y = 25$

y-intercept(s) in point form.

y-intercept(s): $(0, 25)$

Create a table of the $x$ and $y$ values.

$\begin{array}{c} x & y \\ 0 & 25 \\ \frac{25}{4} & 0 \end{array}$

Graph the line using the slope and the y-intercept, or the points.

Slope: $- 4$

y-intercept: $(0, 25)$

$\begin{array}{c} x & y \\ 0 & 25 \\ \frac{25}{4} & 0 \end{array}$

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Name

Name	one billion seven hundred three million seven hundred fifty-three thousand eight hundred sixty-three

Interesting facts

1703753863 has 8 divisors, whose sum is 2225311232
The reverse of 1703753863 is 3683573071
Previous prime number is 7

Basic properties

Is Prime? no
Number parity odd
Number length 10
Sum of Digits 43
Digital Root 7

Name

Name	four hundred eighteen million five hundred fifty-eight thousand ninety-three

Interesting facts

418558093 has 4 divisors, whose sum is 420661600
The reverse of 418558093 is 390855814
Previous prime number is 199

Basic properties

Is Prime? no
Number parity odd
Number length 9
Sum of Digits 43
Digital Root 7

Name

Name	six hundred forty-seven million seven hundred thirty-five thousand three hundred eighty-two

Interesting facts

647735382 has 64 divisors, whose sum is 1977421824
The reverse of 647735382 is 283537746
Previous prime number is 8147

Basic properties

Is Prime? no
Number parity even
Number length 9
Sum of Digits 45
Digital Root 9

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