Given:
The slope of the line is
![m=(4)/(5)](https://img.qammunity.org/2023/formulas/mathematics/high-school/v9htqyfym1iiiwkph3jkpvyjj8sb4o4h0c.png)
Passes through the point
![(x,y)=(0,7)](https://img.qammunity.org/2023/formulas/mathematics/college/ds62iggy906fokatw9nafbivwavglehss9.png)
Required:
To find equation in slope intercept form.
Step-by-step explanation:
The general equation of slope intercept form is
![y=mx+b](https://img.qammunity.org/2023/formulas/mathematics/high-school/smsb8cbft03lwblmi49nf2l6jby2ofxzws.png)
Where, m = slope
b = y-intercept.
Now,
![y=(4)/(5)x+b](https://img.qammunity.org/2023/formulas/mathematics/college/jfnep6ks6z2635h2mp2dyho4rl1n42dpsn.png)
Here The line passes through the point (0,7), therefore the y-intercept is 7.
So,
![y=(4)/(5)x+7](https://img.qammunity.org/2023/formulas/mathematics/college/5piboinhkyqv8nmnt4z14uder9o8mjwgps.png)
Final Answer:
![y=(4)/(5)x+7](https://img.qammunity.org/2023/formulas/mathematics/college/5piboinhkyqv8nmnt4z14uder9o8mjwgps.png)