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Find the equation of the line using the point-slope formula. Write the final equation using slope-intercept form. (1,2) with a slope of -3/4

So because I am horrible at Algebra I would kindly like to ask somebody to assist me if they are willing please and thank you.

1 Answer

6 votes

Answer:


y-2=\displaystyle -(3)/(4)(x-1)

OR


y=\displaystyle -(3)/(4)x+(11)/(4)

Explanation:

Hi there!

Point-slope form:
y-y_1=m(x-x_1) where m is the slope of the line and
(x_1,y_1) is a given point

Given that the slope is -3/4, we can plug it into
y-y_1=m(x-x_1) as m:


y-y_1=\displaystyle -(3)/(4)(x-x_1)

We can also plug in the given point (1,2):


y-2=\displaystyle -(3)/(4)(x-1)

Slope-intercept form:
y=mx+b where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

To write the equation in slope-intercept form, isolate y:


y-2=\displaystyle -(3)/(4)(x-1)\\\\y=\displaystyle -(3)/(4)(x-1)+2\\\\y=\displaystyle -(3)/(4)x+(3)/(4)+2\\\\y=\displaystyle -(3)/(4)x+(11)/(4)

I hope this helps!

User James Porter
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