Graph y=3/4x-7/2

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Trigonometry

Graph y=3/4x-7/2

$y = \frac{3}{4} x - \frac{7}{2}$

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 terms.

$y = \frac{3}{4} x - \frac{7}{2}$

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 $y = m x + b$ .

$m = \frac{3}{4}$

$b = - \frac{7}{2}$

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

Slope: $\frac{3}{4}$

y-intercept: $(0, - \frac{7}{2})$

Slope: $\frac{3}{4}$

y-intercept: $(0, - \frac{7}{2})$

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 $x$ .

$0 = \frac{3 x}{4} - \frac{7}{2}$

Solve the equation.

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Rewrite the equation as $\frac{3 x}{4} - \frac{7}{2} = 0$ .

$\frac{3 x}{4} - \frac{7}{2} = 0$

Add $\frac{7}{2}$ to both sides of the equation.

$\frac{3 x}{4} = \frac{7}{2}$

Multiply both sides of the equation by $\frac{4}{3}$ .

$\frac{4}{3} \cdot \frac{3 x}{4} = \frac{4}{3} \cdot \frac{7}{2}$

Simplify both sides of the equation.

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Simplify $\frac{4}{3} \cdot \frac{3 x}{4}$ .

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Cancel the common factor of $4$ .

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Cancel the common factor.

$\frac{4}{3} \cdot \frac{3 x}{4} = \frac{4}{3} \cdot \frac{7}{2}$

Rewrite the expression.

$\frac{1}{3} \cdot (3 x) = \frac{4}{3} \cdot \frac{7}{2}$

Cancel the common factor of $3$ .

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Factor $3$ out of $3 x$ .

$\frac{1}{3} \cdot (3 (x)) = \frac{4}{3} \cdot \frac{7}{2}$

Cancel the common factor.

$\frac{1}{3} \cdot (3 x) = \frac{4}{3} \cdot \frac{7}{2}$

Rewrite the expression.

$x = \frac{4}{3} \cdot \frac{7}{2}$

Simplify $\frac{4}{3} \cdot \frac{7}{2}$ .

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Cancel the common factor of $2$ .

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Factor $2$ out of $4$ .

$x = \frac{2 (2)}{3} \cdot \frac{7}{2}$

Cancel the common factor.

$x = \frac{2 \cdot 2}{3} \cdot \frac{7}{2}$

Rewrite the expression.

$x = \frac{2}{3} \cdot 7$

Combine $\frac{2}{3}$ and $7$ .

$x = \frac{2 \cdot 7}{3}$

Multiply $2$ by $7$ .

$x = \frac{14}{3}$

x-intercept(s) in point form.

x-intercept(s): $(\frac{14}{3}, 0)$

Find the y-intercept.

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

$y = \frac{3 (0)}{4} - \frac{7}{2}$

Solve the equation.

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Remove parentheses.

$y = \frac{3 (0)}{4} - \frac{7}{2}$

Simplify $\frac{3 (0)}{4} - \frac{7}{2}$ .

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Multiply $3$ by $0$ .

$y = \frac{0}{4} - \frac{7}{2}$

Divide $0$ by $4$ .

$y = 0 - \frac{7}{2}$

Subtract $\frac{7}{2}$ from $0$ .

$y = - \frac{7}{2}$

y-intercept(s) in point form.

y-intercept(s): $(0, - \frac{7}{2})$

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

$\begin{array}{c} x & y \\ 0 & - \frac{7}{2} \\ \frac{14}{3} & 0 \end{array}$

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

Slope: $\frac{3}{4}$

y-intercept: $(0, - \frac{7}{2})$

$\begin{array}{c} x & y \\ 0 & - \frac{7}{2} \\ \frac{14}{3} & 0 \end{array}$

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Name

Name	three hundred forty-eight million one hundred eighty-seven thousand six hundred ninety-nine

Interesting facts

348187699 has 4 divisors, whose sum is 348715120
The reverse of 348187699 is 996781843
Previous prime number is 661

Basic properties

Is Prime? no
Number parity odd
Number length 9
Sum of Digits 55
Digital Root 1

Name

Name	seven hundred sixty-seven million seven hundred ninety thousand two hundred ninety-two

Interesting facts

767790292 has 16 divisors, whose sum is 1727829792
The reverse of 767790292 is 292097767
Previous prime number is 7331

Basic properties

Is Prime? no
Number parity even
Number length 9
Sum of Digits 49
Digital Root 4

Name

Name	one billion two hundred thirty million six hundred thirty-five thousand nine hundred eleven

Interesting facts

1230635911 has 4 divisors, whose sum is 1231578792
The reverse of 1230635911 is 1195360321
Previous prime number is 1307

Basic properties

Is Prime? no
Number parity odd
Number length 10
Sum of Digits 31
Digital Root 4

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