Answer:
a) [tex]y=-5x+70[/tex]
Step-by-step explanation:
Choose points on the line: (0, 70) and (4, 50)
Let [tex](x_1,y_1)[/tex] = (0, 70)
Let [tex](x_2,y_2)[/tex] = (4, 50)
Use the slope formula to find slope: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\implies m=\dfrac{50-70}{4-0}=-5[/tex]
Use point-slope form of linear equation to find equation:
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-70=-5(x-0)[/tex]
[tex]\implies y=-5x+70[/tex]
