Write the equation of a line that is parallel to y=0.6x+3 and that passes through the point

1 answer:

3 0

A line parallel to y = 0.6x + 3 will be of the form:

$y = 0.6x + k$

where k is a constant.

It passes through (-3,-5)

Thus,

$y = 0.6x + k \\ \\ -5 = 0.6 \times (-3) + k \\ \\ -5 = -1.8 + k \\ \\k = -5 + 1.8 \\ \\ k = -3.2$

$\textbf{The equation is \: \: y = 0.6x - 3.2}$

You might be interested in

Who’s right? And why?

kvasek [131]

Answer: Raymond is correct

The DJ charges $75 an hour.

=================================================

Explanation:

x = number of hours

y = total cost

The DJ does a 3-hour event for $275. This means one point is (x,y) = (3,275)

Another point is (5,425) because a 5-hour event costs $425.

Let's find the slope of the line through these two points.

$(x_1,y_1) = (3,275) \text{ and } (x_2,y_2) = (5,425)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{425 - 275}{5 - 3}\\\\m = \frac{150}{2}\\\\m = 75\\\\$