Highlight; The equation of a line is measured;
[tex]y = mx + b[/tex]
Answers;
For number 1, let m = 2, x = 3, y = 5
[tex]5 = 2 \times 3 + b \\ 5 = 6 + b \\ b = - 1[/tex]
Since b = -1, substitute the value
Thus y = 2x -- 1
For number 2, let m = -3, x = 2, y = 4
[tex] 4 = - 3 \times 2 + b \\ 4 = - 6 + b \\ b = 10[/tex]
Since b = 10, substitute the value
Thus y = --3x + 10
For number 3, let m = 4, x = -1, y = 3
[tex]3 = - 1 \times 4 + b \\ 3 = - 4 + b \\ b = 7[/tex]
Since b = 7, substitute the value
Thus y = 4x + 3
For number 4, let m = 0.5, x = 6, y = -8
[tex] 8 = - 6 \times \frac{1}{2} + b \\ 8 = - 3 + b \\ b = 11[/tex]
Since b = 11, substitute the value;
Thus, y = 0.5x -- 8
For number 5, let m = -0.25, x = -12, y = -6
[tex] - 6 = - 12 \times - \frac{1}{4} + b \\ - 6 = 3 + b \\ b = - 9[/tex]
Since b = -9, substitute the value
Thus y = --1/4x -- 9
