Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form: where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
- Perpendicular lines always have slopes that are negative reciprocals of each other (ex. -1/3 and 3, 1/2 and -2, etc.)
<u>1) Determine the slope (m)</u>
Looking at the given equation, we can identify clearly that is in the place of m, making it the slope of the line. Because perpendicular lines always have slopes that are negative reciprocals, we know that the slope of the line we're solving for will be . Plug this into :
<u>2) Determine the y-intercept (b)</u>
Plug in the given point (-3,5)
Subtract 4 from both sides
Therefore, the y-intercept is 1. Plug this back into :
I hope this helps!
Because she ran on 3 days total, you can multiply the 3/4 by 3.
3/4(3) = 2.25 miles
Answer: y = 4x-3
slope = 4, y intercept = -3
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m = 4 is the slope
is the point the line goes through
Using point slope form, we can say,
The equation is in slope intercept form y = mx+b
m = 4 = slope
b = -3 = y intercept
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As an alternative, you can use y = mx+b to get the same answer. We'll plug in m = 4 and (x,y) = (-2,-11) to solve for b
y = mx+b
-11 = 4(-2)+b
-11 = -8+b
-11+8 = -8+b+8
-3 = b
b = -3 we get the same y intercept value as above
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To check the answer, plug x = -2 into the equation. We should get y = -11
y = 4x-3
y = 4(-2)-3
y = -8-3
y = -11 we get the proper y value. The answer is confirmed.