Respuesta :

amysun2025

Answer:

y = 2x - 11

Step-by-step explanation:

We are given that a line has a slope of 2 and passes through the point (4, -3).

As the question doesn't specify, we can write the equation of the line in any format.

There are 3 ways to write the equation of the line. They are:

  • Slope-intercept form, which is y=mx+b, where m is the slope and b is the value of y at the y intercept.
  • Standard form, which is ax+by=c, where a, b, and c are free integer coefficients, however a and b cannot be 0 and a cannot be negative.
  • Point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1,y_1)[/tex] is a point.

Although while all of these choices are valid, let's write the equation in slope-intercept form, as that is the most common way to write the equation of the line.

As we are already given the slope of the line, we can immediately plug it into the equation as m.

Replace m with 2.

y = 2x + b

Now we need to find b.

As the line contains the point (4, -3), we can use its values to help solve for b.

Substitute 4 as x and -3 as y.

-3 = 2(4) + b

Multiply.

-3 = 8 + b

Subtract 8 from both sides.

-11 = b

Substitute -11 as b in the equation.

y = 2x - 11

Topic: finding the equation of the line

See more: https://brainly.com/question/20110041

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