Which is an equation of a line with a slope of 1/2 that contains the point (-4,7)?

Answer

We know that this is a straight line, so it will follow the slope intercept equation:
y = mx + b.
To solve this problem, we need to plug in the x and y values for one point to get b, and then we will know the equation for the line, which is valid for all points.
x = −4

y = −3

m = 1/2
Let's start by solving for b:
b = y − mx
Now we can plug in numbers:
b = −3 − (1/2 × −4)

b = −3 − (−2)

b = −3 + 2

b = −1
Now that we know m and b, we can plug into our original equation:

The equation is y = 1/2x − 1.

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