Questions: Identify the slope and y-intercept, if they exist. 7 x=5 y Part 1 of 2 Select "Undefined" if applicable. Slope: Part 2 of 2

Transcript text: Identify the slope and $y$-intercept, if they exist. \[ 7 x=5 y \] Part 1 of 2 Select "Undefined" if applicable. Slope: $\square$ Part 2 of 2

Solution

Solution Steps

Step 1: Rewrite the equation in slope-intercept form

The given equation is 7x = 5y. To find the slope and y-intercept, we need to rewrite the equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. Divide both sides of the equation by 5: y = (7/5)x

Step 2: Identify the slope

The equation is now in the form y = mx + b. In our equation, y = (7/5)x, we can see that m = 7/5, so the slope is 7/5.

Step 3: Identify the y-intercept

The y-intercept is the value of y when x = 0. In our equation, y = (7/5)x, when x = 0, y = (7/5)(0) = 0. So the y-intercept is 0.