Find the slope and the y-intercept of the line.
7x-2y=-2
Write your answers in simplest form.
slope:
y-intercept:
To find the slope and y-intercept of the line, we need to rearrange the equation into slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
Starting with the given equation:
7x - 2y = -2
First, let's isolate the y-term by subtracting 7x from both sides:
-2y = -7x - 2
Next, divide both sides of the equation by -2 to solve for y:
y = (7/2)x + 1
Comparing this equation to the slope-intercept form, we can see that the slope (m) is 7/2 and the y-intercept (b) is 1.
Therefore, the slope is 7/2 and the y-intercept is 1.