Question

Find the slope and y-intercept of the line.

14x + 4y = 24

Answer 1

To find the slope and y-intercept of the line represented by the equation 14x + 4y = 24, we need to rewrite the equation in slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.

First, we can isolate y on one side of the equation:

4y = -14x + 24

Next, divide by 4 to solve for y:

y = -14/4 * x + 24/4
y = -3.5x + 6

Now, comparing this equation to y = mx + b, we can see that the slope is -3.5 and the y-intercept is 6.

Therefore, the slope of the line is -3.5 and the y-intercept is 6.