The equation of a line can be determined by using the point-slope form, which is: y - y1 = m(x - x1).
Substituting the given slope (m = 2) and point (x1 = 3, y1 = -4) into the point-slope form gives:
y - (-4) = 2(x - 3)
Simplifying this equation:
y + 4 = 2x - 6
Rearranging the equation to slope-intercept form (y = mx + b) gives:
y = 2x -6 - 4
y = 2x - 10
Therefore, the equation of the line with a slope of 2 passing through the point (3, -4) is y = 2x - 10.
Determine the equation of the line with the specified slope that passes through the given point. Match the correct equation with the given point and slope.
(3, –4) m = 2
1 answer
1 answer