Algebra Examples

$y = 4 x$

Step 1

Using slope-intercept form

$y = m x + b$ , identify the slope

$m$ .

$y = 4 x$

$m = 4$

Step 2

Pick any

$x$ -value, then substitute into the equation and simplify to find a point on the line.

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Step 2.1

Substitute

$1$ for

$x$ .

$y = 4 \cdot 1$

Step 2.2

Multiply

$4$ by

$1$ .

$y = 4$

Step 2.3

Since

$y = 4$ when

$x = 1$ ,

$(1, 4)$ is a point on the line.

$(1, 4)$

Step 3

Plug in the values of the found point and the value of the slope into the point-slope form

$y - y_{1} = m (x - x_{1})$ .

$y - 4 = 4 (x - 1)$

Step 4