Question

Write the equation of this line in slope-intercept form.

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer 1

Answer:

y = -3x + 4

Step-by-step explanation:

Equation of line in slope-intercept form:

Slope-intercept form:

        $\boxed{\bf y = mx + b}$

Here m is the slope and b is the y-intercept.

• First choose two points from the given graph.

(0, 4) & (1 , 1)

•  Find the slope using the points.

 $\sf x_1 = 0 ~ ; ~ y_1 = 4\\\\x_2 = 1 ~ ; y_2 = 1\\\\\boxed{\bf Slope = \dfrac{y_2-y_1}{x_2-x_1}}$

          $\sf m =\dfrac{1-4}{1-0}\\\\m = \dfrac{-3}{1}\\\\m = -3$

• Substitute 'm' value in the equation, we get,

       y = -3x + b

• The line is passing through (0,4).

      4 = 0 + b

      b = 4

Equation of line in slope-intercept form:

    y = -3x + 4