which equation represents the line that passes the point (1,5) and has a slope of negative 2?
a) y=2x+7
b) y=-2+11
c) y=2x-9
d) y=2x+3
a) was suppose to be -2x+7
so the answer would be a since it the answer is 5 right?
thanks so much :)
Ok, but what about d) ?????
y = 2x + 3
for (1,5)
5 = 2(1) + 3
5 = 2+3
5 = 5
your a)
y = -2x + 7
5 = -2(1) + 7
5 = -2+7
5 = 5
that works too,
so (1,5) lies on two different lines and (1.5) must be the intersection of
y = 2x+3 and y = -2x +7
Which equation written in standard form has a graph that has a slope of negative2and 1 over 5 and passes through the point (negative10, 2)?
To determine the equation of a line that passes through a given point and has a specified slope, you can use the point-slope form of a linear equation: y - y₁ = m(x - x₁), where (x₁, y₁) is the given point and m is the slope.
In this case, the point (1, 5) is given, and the slope is -2. Plugging these values into the point-slope form equation, we have:
y - 5 = -2(x - 1)
Expanding the equation further:
y - 5 = -2x + 2
Next, we can simplify the equation by isolating y:
y = -2x + 7
Now, comparing this equation to the options:
a) y = 2x + 7: This equation has a positive slope, so it is not the correct answer.
b) y = -2 + 11: This equation is missing the "x" variable and does not have the correct slope, so it is not the correct answer.
c) y = 2x - 9: This equation has a positive slope, so it is not the correct answer.
d) y = 2x + 3: This equation has the correct slope and passes through the point (1, 5), so it is the correct answer.
Therefore, the equation that represents the line is d) y = 2x + 3.
wow that was a lot and that was funny
a) , c), and d) have a slope of 2
b) doesn't even have an x term
Now which equation does (1,5) fit into ???
put x = 1 into each right side of the equation and see if you get a y value of 5