Question

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

Answer 1

• 
  `\bold{y=(5)/(9) x+7}`

Solution:

Hi! We have all the information required for solving this problem.

Just remember that the slope-intercept formula looks like this:

`\large\textbf{y\,=\,mx\,+\,b}`

Where:

• 
  `\bold{m= > slope}`
• 
  `\bold{b= > y-intercept}`

Plug in the values. Use 7 for b.

• 
  `\bold{y=(5)/(9) x+7}`

Problem solved! It's been a pleasure helping you.

Answer 2

`\text{ y = }(5)/(9)x\text{ + 7}`

Step-by-step 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 = }(5)/(9)(x\text{ - 0)} \\ y\text{ - 7 = }(5)/(9)x \\ \Rightarrow\text{ y = }(5)/(9)x\text{ + 7} \end{gathered}`

That is the equation of the line.