Question

Write the equation of the line in slope-intercept form.M= 5/9,y-intercept (0,7)

Answer 1

ANSWER

$\text{ y = }\frac{5}{9}x\text{ + 7}$

EXPLANATION

We are to find the question of the line with slope (m) of 5/9 and y interecept (0,7)

To do this, we use the slope-intercept formula:

$\begin{gathered} y-y_1=m(x-x_1)_{} \\ \text{where } \\ y_1=\text{ 7} \\ x_1\text{ = 0} \end{gathered}$

Therefore, we have that:

$\begin{gathered} y\text{ - 7 = }\frac{5}{9}(x\text{ - 0)} \\ y\text{ - 7 = }\frac{5}{9}x \\ \Rightarrow\text{ y = }\frac{5}{9}x\text{ + 7} \end{gathered}$

That is the equation of the line.