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A line passes through the point (-8, 9) and has a slope of 3/4
Write an equation in slope-intercept form for this line.

Sagot :

amysun2025

Answer:

y=3/4x + 15

Step-by-step explanation:

Hi there!

We are given that a line passes through the point (-8, 9), and has 3/4 as its slope

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

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y-intercept

As we are already given the slope of the line, we can immediately substitute it as m in the equation.

So replace 3/4 for m in y=mx+b:

y=3/4x + b

Now we need to solve for b

As the equation passes through the point (-8, 9), we can use its values to help solve for b.

Substitute -8 as x and 9 as y in the equation so far

9 = 3/4(-8) + b

Multiply

9 = -6 + b

Now add 6 to both sides

9 = -6  + b

+6  +6

___________

15 = b

Substitute 15 as b into the equation

y = 3/4x + 15

Hope this helps!


Topic: Finding the equation of the line

See more on this topic here: https://brainly.com/question/27514958

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