Question

Write an equation in point-slope form of the line that passes through the given point and is parallel to the graph of the given equation

Answer 1

Answer:

The equation of the line is:

$y -1= 5(x - 2)$

Step-by-step explanation:

Given

Pass through $(2,-1)$

Parallel to: $y= 5x - 2$

Required

Determine the equation in point slope form

An equation has a general form:

$y = mx + c$

Where:

$m = slope$

Compare: $y = mx + c$ to $y= 5x - 2$

we have:

$m = 5$

Since the line is parallel to $y= 5x - 2$, then they have the same slope of 5

The line equation is then calculated using:

$y -y_1= m(x - x_1)$

Where

$m = 5$

$(x_1,y_1) =$ $(2,-1)$

So, we have:

$y -1= 5(x - 2)$