Answer:
The slope of a line that includes the points (4, -2) and (5, 0) is 2
Step-by-step explanation:
You know that the formula y - y1 = m(x - x1) is the point-slope form of the equation of a line where m is the slope of a line.
The line must include the points (4, -2) and (5, 0). So, being:
- (x,y)= (4,-2)
- (x1,y1)= (5, 0)
and replacing in the point-slope form of the equation of a line:
-2-0=m(4-5)
You solve the equation for m and get:
-2=m*(-1)

m=2
<u><em>The slope of a line that includes the points (4, -2) and (5, 0) is 2</em></u>
Answer:
Step-by-step explanation:
<u>Expand the expression with the help of distributive property.</u>
- 2(q + 3)
- => (2 x q) + (2 x 3)
- => 2q + 6
Hence, the expanded expression is 2q + 6.
Answer:
t=5
Step-by-step explanation:
∵ (t,17) lies on (x,y) plane y=x²-3x+7,t>0
∴ 17=t²-3t+7
t²-3t+7-17=0
t²-3t-10=0
t²-5t+2t-10=0
t(t-5)+2(t-5)=0
(t-5)(t+2)=0
t=5,-2
t>0
so t=5
Answer:
4x² -3y
Step-by-step explanation: