Question

Write the equation given the slope of 5 and a coordinate of (-7,2)

a
y=5x+37

b
y = -7x+2

c
y=2x

Answer 1

To write the equation of a line given the slope and a point, you can use the point-slope form of a linear equation, which is:

\[ y - y_1 = m(x - x_1) \]

where \( m \) is the slope and \( (x_1, y_1) \) is the point. In this case, the slope \( m \) is 5, and the point is (-7, 2).

Plugging in these values:

\[ y - 2 = 5(x + 7) \]

Now simplify this equation:

1. Distribute the 5:
\[
y - 2 = 5x + 35
\]

2. Add 2 to both sides:
\[
y = 5x + 37
\]

So the equation of the line is

**Answer: a) \( y = 5x + 37 \)**.