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find the slope intercept form of the line whose slope is 2 and passes through the point (-7,10)

Sagot :

amysun2025

Answer:

y=2x+24

Step-by-step explanation:

Hi there!

We are given that a line has a slope of 2 and passes through (-7, 10)

We want to write the equation of this line in slope-intercept form

Slope-intercept form is 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 substitute it in for m

So replace m with 2 in y=mx+b

y=2x + b

Now we need to find b

As the equation passes through the point (-7, 10), we can use its values to help us find the value of b

Substitute -7 as x and 10 as y

10 = 2(-7) + b

Multiply

10 = -14 + b

Add 14 to both sides

24 = b

Substitute 24 as b into the equation

y = 2x + 24

Hope this helps!

See more on finding the equation of the line here: https://brainly.com/question/27582464

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