To find the equation of the linear function represented by the points (1,10) and (-1,4), we can use the point-slope form of the equation of a line:
We start by finding the slope:
slope (m) = (y2 - y1) / (x2 - x1)
slope (m) = (4 - 10) / (-1 - 1)
slope (m) = -6 / -2
slope (m) = 3
Next, we choose one of the points to use in the point-slope form. Let's choose (1,10).
y - y1 = m(x - x1)
y - 10 = 3(x - 1)
y - 10 = 3x - 3
y = 3x - 3 + 10
y = 3x + 7
Therefore, the equation of the linear function represented by the points (1,10) and (-1,4) is y = 3x + 7.
image shows a graph with points (1,10) and (-1,4).
Write the equation of the linear function shown on the graph. (1 point) Responses y=2x+2 y equals 2 x plus 2 y=2x−2 y equals 2 x minus 2 y=−2x+2 y equals negative 2 x plus 2 y=−2x−2
1 answer
1 answer