Write the equation of the line that has a slope of 2 and passes through the point (-3,4). Responses A y = 2x - 2y = 2x - 2 B y = 2x + 2y = 2x + 2 C y = 2x + 7y = 2x + 7 D y = 2x + 10
The equation of a line can be written in the form y = mx + b, where m is the slope and b is the y-intercept.
Given that the slope is 2, we can substitute this value into the equation as follows:
y = 2x + b
To find b, we can use the given point on the line (-3,4).
Substituting the coordinates into the equation, we have:
4 = 2(-3) + b
4 = -6 + b
Adding 6 to both sides, we get:
10 = b
Thus, the equation of the line that has a slope of 2 and passes through the point (-3,4) is y = 2x + 10.
Therefore, the correct answer is D.