Find Slope and y intercept for each line that has a slope and y intercept.
x+2y=3
To find the slope and y-intercept for the line given by the equation x + 2y = 3, 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.
To do this, let's isolate y in the equation by moving the x term to the other side:
x + 2y = 3
2y = 3 - x
y = (3 - x)/2
Now, we can see that the equation is in the form y = mx + b, where m is the slope and b is the y-intercept.
Comparing the equation to the slope-intercept form, we can determine the values for the slope and y-intercept:
Slope (m): In this case, the coefficient of x is -1 (since it's written as -x), so the slope is -1.
Y-intercept (b): The y-intercept is the value of y when x = 0. Substituting x = 0 into the equation, we get:
y = (3 - 0)/2
y = 3/2
Therefore, the slope of the line is -1 and the y-intercept is 3/2.