QuestionFind the line equation in slope-intercept form with slope $m=\frac{5}{9}$ and y-intercept $(0,1)$ .

Studdy Solution

STEP 1

Assumptions1. The slope of the line (m) is $\frac{5}{9}$ . The y-intercept of the line is at the point (0,1)
3. The equation of the line is to be written in slope-intercept form, which is $y = mx + b$ , where m is the slope and b is the y-intercept.

STEP 2

First, we need to plug in the given slope (m) into the slope-intercept form of the line equation.
$y = \frac{5}{9}x + b$

STEP 3

Now, plug in the given y-intercept into the equation. The y-intercept is the value of y when x =0, which is given as1.
$y = \frac{5}{9}x +1$ This is the equation of the line in slope-intercept form.

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