Answer:
50) [tex]-\frac{1}{2}[/tex]
51) [tex]-\frac{1}{3}[/tex]
52) [tex]-\frac{3}{2}[/tex]
Step-by-step explanation:
y = mx + c
The 'm' in this equation represents the gradient and the 'c' represent's the y-intercept using this information we can solve the questions so,
50) Using the information above the answer is [tex]-\frac{1}{2}[/tex]
51) To find the gradient/slope we have to utilise the gradient formula which is
[tex]\frac{y2-y1}{x2-x1}[/tex]
Substitute in the values
[tex]\frac{4-2}{-2-4}[/tex] = [tex]\frac{2}{-6}[/tex] = [tex]-\frac{1}{3}[/tex]
52) 2y - 3 = -6x.
First step is to put that into the y = mx + c format so
⇒ 2y - 3 = -6x
→ Add 3 to both sides to isolate 2y
⇒ 2y = -6x + 3
→ Divide both sides by 2 to isolate y
⇒ y = -3x + 1.5
The question asks for the sum of the slope and y-intercept so -3 + 1.5 - 1.5 so the answer is [tex]-\frac{3}{2}[/tex]
