Sagot :
Answer:
Step-by-step explanation:
m = -3
y -y1 = m(x -x1)
y - 4 = -3(x -5)
y - 4 = -3x + 15
y = -3x + 15 + 4
y = -3x + 19
g(5) = -3*5 + 19 = -15 + 19 = 4
g(3) = -3*3 + 19 = -9 + 19 = 10
Answer: [tex]g(x)=-3x+19[/tex]
Step-by-step explanation:
1) Write the equation to find the slope: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
2) Substitute Info: [tex]m=\frac{10-4}{3-5}[/tex]
3) Simplify: [tex]m=3[/tex]
4) Write point-slope form: [tex]y-y_1=m(x-x_1)[/tex]
5) Substitute info: [tex]y-4=-3(x-5)[/tex]
6) Distribute: [tex]y-4=-3x+15[/tex]
7) Write in slope intercept form/Add 4 on each side and simplify: [tex]y=-3x+19[/tex]
8) Substitute: [tex]g(x)=-3x+19[/tex]
9) BONUS!!!!!! Graph: