Write the slope-intercept form of the line that passes through the point (-3, - 6 ) and is parallel to the line y = 5x+4.

y= 5x +9

Step-by-step explanation:

Slope- intercept form:

y= mx+c, where m is the gradient and c is the y-intercept.

Parallel lines have the same gradient. Since the gradient of the given line is 5, the gradient of the unknown line is also 5. Hence, m=5.

y= 5x+c

To find the value of c, substitute a coordinate.

When y= -6, x= -3,

-6= 5(-3) +c

-6= -15 +c

c= 15 -6 (+15 on both sides)

c= 9 (simplify)

Thus, the equation of the line is y=5x+9.

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500

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