Answer:
please see answers below
Explanation:
equation of a straight line is given by y= mx + c (where m is gradient-slope, c is y-axis intercept)
you have to measure the slope (change in y values ÷ change in x values).
you have to find where graph crosses the y-axis (y-axis intercept).
pick two sets of coordinates for each line (graph).
1) coordinates are (0,2) and (10,7).
slope = (change in y values ÷ change in x values)
= (7 - 2) / (10 - 0) = 5/10 = 1/2.
it crosses the y-axis at y = 2.
the equation is y = (1/2)x + 2.
2) coordinates are (0, -3) and (2, 5).
slope = (-3 - 5) / (0 - 2)
= -8 / -2
= +4
=4.
it crosses the y-axis at y = -3
the equation is y = 4x - 3
3) coordinates are (-1, 0) and (1, -2)
slope = (-2 - 0) / (1 - -1)
= -2 / (1 + 1)
= -2 /2
= -1 .
it crosses the y-axis at y = -1
the equation is y = -x - 1
4) coordinates are (-1, 2) and (0, -1)
slope = (-1 - 2) / (0 - -1)
= -3 / (0 + 1)
= -3/1
= -3.
it crosses the y-axis at y = -1
the equation is y = -3x - 1
5) coordinates are (4, 0) and (0, 2).
slope = (2 - 0) / (0 - 4)
= 2/-4
= -1/2
it crosses the y-axis at y = 2
the equation is y = -(1/2)x + 2
hope these answers help you. good luck