Question

Which equation describes the line with a slope of 2 that contains the point (4,-3)

Answer 1

Answer:

y = 2x - 11

Step-by-step explanation:

A linear equation has the following form.

y = a . x + b

where,

y: independent variable

a: slope

x: independent variable

b: y-intercept

The slope is 2, so a is 2. The ordered pair (4, -3) means that when x takes the value 4, y takes the value -3. We can replace these values in the general equation to find the y-intercept.

y = a . x + b

-3 = 2 . 4 + b

b = -11

The linear equation is

y = 2x - 11

Answer 2

$\bf \begin{array}{ccccccccc} &&x_1&&y_1\\ % (a,b) &&(~ 4 &,& -3~) \end{array} \\\\\\ % slope = m slope = m\implies 2 \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-3)=2(x-4) \\\\\\ y+3=2x-8\implies y=2x-11$