Respuesta :

equation: 2y = 3x + 15

If cross y-axis, the x will be 0

2y = 3(0) + 15

2y = 15

y = 7.5

crosses y-axis at (0, 7.5)

(b)

P(-1,10), Q(3,4)

(i) gradient:

[tex]\sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\rightarrow \sf \dfrac{4-10}{3--1}[/tex]

[tex]\rightarrow \sf \dfrac{-6}{4}[/tex]

[tex]\rightarrow \sf -1.5[/tex]

(ii) midpoint:

[tex]\sf (x_m, y_m) = (\dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2})[/tex]

[tex]\rightarrow \sf (x_m, y_m) = (\dfrac{3-1}{2}, \dfrac{4+10}{2})[/tex]

[tex]\rightarrow \sf (x_m, y_m) = (1,7)[/tex]

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