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
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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