Answer:
y= 5x+13
Step-by-step explanation:
<u>Slope- intercept form</u>
y= mx +b, where m is the gradient and b is the y-intercept.
Parallel lines have the same gradient.
y= 5x +4
Gradient of given line= 5
Thus, gradient of line= 5
Subst. m=5 into the equation.
y= 5x +b
To find the value of b, substitute a coordinate
When x= -2, y=3,
3= 5(-2) +b
3= -10 +b
b= 3 +10 <em>(</em><em>+</em><em>1</em><em>0</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
b= 13
Thus, the equation of the line is y= 5x +13.
Answer:
If the number is x, then the equation is;
x-m = 5 + n
Step-by-step explanation:
Here, we want to write the given statement in algebraic form
What number exceeds m by five more than n
Let the number be x
x-m = n + 5
Answer:
9.42 units (3 s.f.)
Step-by-step explanation:
Circumference of circle= 2πr
Radius
= diameter ÷2
= 3 ÷2
= 1.5
Circumference of circle
= 2(π)(1.5)
= 3π
= 9.42 units (3 s.f.)