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Answer:
y=2x-8
Step-by-step explanation:
Hi there!
We want are given a line with a slope of 2, that passes through the point (9, 10)
We want to find the equation of this line in slope-intercept form
Slope-intercept form can be written as y=mx+b, where m is the slope and b is the y intercept
As we are already given the slope, we can immediately plug it in as m in the formula.
y=2x+b
Now we need to find b, which is the value of the y intercept
As the equation passes through the point (9, 10), it is a solution to the equation, meaning that if we plug it into the equation of the line, it will create a true statement.
So we can use its values of x and y to help us solve for b.
Substitute 9 as x and 10 as y in the equation.
10=2(9) + b
multiply
10=18+b
Subtract 18 from both sides to isolate b on one side
-8=b
Substitute -8 as b into the equation
y=2x-8
Hope this helps!
If you would like additional problems to practice, here are two of them, both with explanations (n.b., the solution to the first link included uses a different method from the one in this answer.)
https://brainly.com/question/18112053
https://brainly.com/question/25508767