Complete the point-slope equations of the line through (3,6) and (5,-8). Use exact numbers.
1 answer:
Answer:
y - 6 = - 7(x - 3)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (3, 6) and (x₂, y₂ ) = (5, - 8)
m = =
= - 7
Use either of the 2 points for (a, b)
Using (3, 6), then
y - 6 = - 7(x - 3) ← in point- slope form
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Answer:
1. x=4
2. x=6
Step-by-step explanation:
I've attached the graphs here:
Clearly, the solution for first one is(Reminder: the solution is the x-intercepts, when y is zero):
x=4
And the second is:
x=6
Hope this helps!
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