Find the Equation Using Point-Slope Formula Slope=1/2 ; passing through the origin

$S l o p e = \frac{1}{2}$ ; passing through the origin

Step 1

Write the problem as a mathematical expression.

$S l o p e = \frac{1}{2}$ , $(0, 0)$

Step 2

Use the slope $\frac{1}{2}$ and a given point $(0, 0)$ to substitute for $x_{1}$ and $y_{1}$ in the point-slope form $y - y_{1} = m (x - x_{1})$ , which is derived from the slope equation $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ .

$y - (0) = \frac{1}{2} \cdot (x - (0))$

Step 3

Simplify the equation and keep it in point-slope form.

$y + 0 = \frac{1}{2} \cdot (x + 0)$

Step 4

Solve for $y$ .

Add $y$ and $0$ .

$y = \frac{1}{2} \cdot (x + 0)$

Simplify $\frac{1}{2} \cdot (x + 0)$ .

Add $x$ and $0$ .

$y = \frac{1}{2} \cdot x$

Combine $\frac{1}{2}$ and $x$ .

$y = \frac{x}{2}$

Reorder terms.

$y = \frac{1}{2} x$

Step 5

List the equation in different forms.

Slope-intercept form:

$y = \frac{1}{2} x$

Point-slope form:

$y + 0 = \frac{1}{2} \cdot (x + 0)$

Step 6

Find the Equation Using Point-Slope Formula Slope=1/2 ; passing through the origin

Related Questions

Support LCMGCF.com by disabling your adblocker.