Question

Use point-slope form to write the equation of a line that passes through the point left bracket, minus, 19, comma, minus, 15, right bracket(−19,−15) with slope 55.

Answer 1

The point-slope form of the equation of a line is given by:

y - y₁ = m(x - x₁)

where (x₁, y₁) is the given point and m is the slope.

Using the given values, we have:

x₁ = -19
y₁ = -15
m = 55

Plugging these values into the formula, we get:

y - (-15) = 55(x - (-19))

y + 15 = 55(x + 19)

Simplifying:

y + 15 = 55x + 1045

Finally, rearranging the equation:

y = 55x + 1030