Find the slope of the straight line that passes through the following pair of points. (-4,1) and (2,6)
2 answers:
Answer: Slope = 5/6
Concept:
Here, we need to know the idea of a slope.
A slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Slope = (y₂ - y₁) / (x₂ - x₁)
Solve:
<u>Given information</u>
(x₁, y₁) = (-4, 1)
(x₂, y₂) = (2, 6)
<u>Given equation</u>
Slope = (y₂ - y₁) / (x₂ - x₁)
<u>Substitute values into the equation</u>
Slope = (6 - 1) / (2 - (-4))
<u>Simplify values in parentheses</u>
<u>REMEMBER to change signs whenever a [+, -] meets [-] sign</u>
Slope = 5 / (2 + 4)
Slope = 5/6
Hope this helps!! :)
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Answer:
Step-by-step explanation:
The roots are really just what x is when the equation is equal to zero. So, an equation with these roots would look like this:
(x+3)(x-4/5)=y
however, this is not standard form. To get standard form we will need to expand the equation using FOIL.
x^2+3x-4x/5-12/5=
x^2+11x/5-12/5
and that would be your answer.
This stuff is a bit tricky and it get annoying with those pesky fractions. If you have any questions just comment.