Answered

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A line with a slope of 2 passes through the point (9, 10). What is its equation in slope-intercept
form?

Sagot :

amysun2025

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

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