Answer:
1. m=-4.5
2. See steps below
3. See steps below
4. [tex]y=\frac{4}{5}x-1[/tex]
Step-by-step explanation:
1. To simplify equations, distribute terms into the parenthesis by multiplying each term. Then combine like terms and solve using inverse operations.
0.2(m-8) = 0.3m+5-3+0.3m
0.2m - 1.6 = 0.3m + 5 -3 + 0.3m
0.2m - 1.6 = 0.6m + 2
0.2m = 0.6m + 1.8
-0,4m = 1.8
m= -4.5
Apply these same steps to questions 2 and 3.
4. To write the equation of a line, find the slope using the slope formula. Then substitute the slope and a point into the point slope form.
[tex]m=\frac{y_2-y_1}{x_2-x_1} =\frac{3--1}{5-0}=\frac{3+1}{5} =\frac{4}{5}[/tex]
[tex]y-y_1 = m(x-x_1)\\y--1=\frac{4}{5}(x-0)\\y+1=\frac{4}{5}x\\y=\frac{4}{5}x-1[/tex]
