Answer:
1) y=⅚x -2⅓
2) y=8/3x -5
Step-by-step explanation:
<u>Point-slope form:</u>
y=mx+c, where m is the gradient and c is the y-intercept.
Parallel lines have the same gradient.
Gradient of given line= 
Thus, m=⅚
Susbt. m=⅚ into the equation,
y= ⅚x +c
Since the line passes through the point (4, 1), (4, 1) must satisfy the equation. Thus, substitute (4, 1) into the equation to find c.
When x=4, y=1,
1= ⅚(4) +c
Thus the equation of the line is 
.
The gradients of perpendicular lines= -1.
Gradient of given line= -⅜
-⅜(gradient of line)= -1
gradient of line
= -1 ÷ (-⅜)
= -1 ×(-8/3)
= 
When x=3, y=3,
Thus the equation of the line is 
.
The graph is shown in the attached image.
Answer:
The money Keira spent on food is $31.
Step-by-step explanation:
Total money spent by Keira = $45
Things Keira spent money on:
1. Clothing
2. Food
3. Other items
Money spent on Clothing = 1/5 of total money
= 1/5 x $45
Money spent on Clothing = $9
Money spent on Other Items = 1/9 of total money
= 1/9 x $45
Money spent on Other Items = $5
Money spent of on Food = Money spent - (Money spent on clothing + other items)
Money spent on food = 45 - (9+5)
= 45 - 14
Money spent on food = $31
Answer:
that would be the third one
Step-by-step explanation:
When system of equations solved graphically, the solutions are points of interceptions, So here, the solution is the point of interception (0,-5).
Answer (0,-5).
