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Find the slope-intercept form of the equation of the line that has the given slope m and passes through the given point.
m = 3/8, (−4, −5)

Sagot :

rijarafiquee

Answer:

y = 3/8x - 7/2

Step-by-step explanation:

y = 3/8x + b

-5 = 3/8(-4) + b

-5 = -3/2 + b

-7/2 = b

amysun2025

Answer:

y=3/8x - 7/2

Step-by-step explanation:

Hi there!

We're given that a line has a slope of 3/8 and passes through the point (-4, -5)

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, we can immediately plug that into the equation as m.

So replace m with 3/8.

y=3/8x + b

Now we need to find b

As the point passes through the point (-4, -5), we can use its values to help solve for b.

Substitute -4 as x and -5 as y:

-5 = 3/8(-4) + b

Multiply

-5 = -3/2 + b

Add 3/2 to both sides

-5 = -3/2 + b

+3/2   +3/2
_______________

-7/2 = b

Substitute -7/2 as b into the equation

y=3/8x - 7/2

Hope this helps!


Topic: Finding the equation of the line

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