Question

6 write the slope intercept form of the equation of the line 5x + 2y = 14 equation:

Explanation:

Step1: Recall slope-intercept form

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. We need to solve the given equation $5x+2y = 14$ for $y$.

Step2: Isolate the term with y

Subtract $5x$ from both sides of the equation: $2y=- 5x + 14$.

Step3: Solve for y

Divide each term in the equation $2y=-5x + 14$ by 2. So we have $y=\frac{-5x + 14}{2}$, which can be rewritten as $y=-\frac{5}{2}x+7$.

Answer:

$y = -\frac{5}{2}x + 7$