Answer:
<u>k = 1.5</u>
Step-by-step explanation:
To find the value of k, at first we will find the point of intersection of the lines
y =2x –5 and y = –x+1
Solve the equations to together by equating the values of y
So, 2x - 5 = -x + 1
Solve for x
3x = 6 ⇒ x = 6/3 = 2
So, y = -x + 1 = -2 + 1 = -1
So, the point of intersection of the lines ⇒ (2,-1)
line y = kx –4 pass through the point of intersection of the lines
so, line y = kx –4 pass through the point (2,-1)
So, at x = 2 , y = -1
∴ -1 = 2k - 4
Solve for k
-1 + 4 = 2k
2k = 3
k = 3/2 = 1.5
<u>So, the value of k is 1.5</u>
Answer:c
Step-by-step explanation:
Answer:
New point is ( - 6, 3).
Step-by-step explanation:
x= -3, after translation 3 units left, we get X = - 3 - 3 = - 6
y = -1, after translation 4 units up, we get X = -1 + 4 = 3
New point is ( - 6, 3).
Answer 10x - 15
Step-by-step explanation:
Because when you do the distributive property, you multiply the things in the parenthesis so 5 multiplied by 2x would be 10x and 5 multiplied by -3 would be -15. Hope this helps :)
Answer:
one solutions
Step-by-step explanation:
graph both points on a graph if they cross you have one solution, if they never meet you have no solution and if it's one line you have infinite solutions