Question

ixl | write equations for lines of best fit grade-8/write-equations-for-lines-of-best-fit play again use the two yellow points to write the equation in slope-intercept form. coefficients as integers, proper fractions, or improper fractions in simplest form

Explanation:

Step1: Find the slope

The formula for slope \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let the first yellow point be \((x_1,y_1)=(0,7)\) and the second yellow point be \((x_2,y_2)=(8,2)\).

$$ m=\frac{2 - 7}{8 - 0}=\frac{-5}{8} $$

Step2: Find the y - intercept

The slope - intercept form is \(y = mx + b\). We know from the point \((0,7)\) that when \(x = 0\), \(y=7\). In the equation \(y=mx + b\), when \(x = 0\), \(y=b\). So \(b = 7\).

Step3: Write the equation

Substitute \(m=-\frac{5}{8}\) and \(b = 7\) into the slope - intercept form \(y=mx + b\).

$$ y=-\frac{5}{8}x+7 $$

Answer:

\(y =-\frac{5}{8}x + 7\)