The equation of a line can be determined using the point-slope form:
y - y1 = m(x - x1)
In this case, the given point is (-3, -4) and the slope is 2. Plugging these values into the point-slope form, we have:
y - (-4) = 2(x - (-3))
Simplifying,
y + 4 = 2(x + 3)
Expanding,
y + 4 = 2x + 6
Subtracting 4 from both sides,
y = 2x + 2
So, the equation of the line with a slope of 2 that passes through (-3, -4) is y = 2x + 2.
Determine the equation of the line with the specified slope that passes through the given point. Match the correct equation with each given point and slope.
(–3, –4) m = 2
1 answer