Answer:
y=2x+3
Step-by-step explanation:
Hi there!
We want to write the equation of the line
We are given that the y-intercept of the line is (0,3) and that the line also goes through the point (2,7)
There are many ways to write the equation of the line, but the most common way is slope-intercept form, which is given as y=mx+b, where m is the slope and b is the y intercept
The value of b is actually the value of y in the point making point of the y intercept
In this case, that point would be 3
So the value of b in this case is 3
Substitute 3 as b into the equation:
y=mx+3
Now we need to find m
As the equation passes through the point (2,7), we can use it to help solve for the value of m
Substitute 2 as x and 7 as y into the equation:
7=2m+3
Subtract 3 from both sides
4=2m
Divide both sides by 2
m=2
Substitute 2 as m into the equation:
y=2x+3
Hope this helps!
Take a look here if you wish to have a similar problem for practice (n.b., the solution uses a different method than the one shown here): https://brainly.com/question/7457022
