Answer:
y+3=2(x-1)
Step-by-step explanation:
Point-slope form is [tex]y-y_1 = m (x-x_1)[/tex]. In order to write a linear equation using this form, the [tex]y_1[/tex], [tex]x_1[/tex] and [tex]m[/tex] must be substituted by real numbers.
The [tex]m[/tex] represents the slope of the equation. We know that the answer has to be parallel to the line y=2x-1. y=2x-1 is already in slope-intercept form, or [tex]y=mx+b[/tex], in which [tex]m[/tex] represents the slope. We can see that the [tex]2[/tex] is in place of that [tex]m[/tex], therefore 2 is the slope of y=2x-1. Lines that are parallel have the same slope, so we know that the slope of the new equation must be 2 as well.
The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point that the line passes through. We know that the new equation must pass through the point (1, -3), so we'll substitute 1 in place of the [tex]x_1[/tex] and -3 in place of the [tex]y_1[/tex].
Substituting for those three values will give you an equation like this, therefore it is the answer:
[tex]y-(-3)= 2(x-(1))[/tex]
[tex]y+3= 2(x-1)[/tex]
