1. Find the slope and y-intercept of the line 7x - 4y = 12.
To find the slope and y-intercept, we need to rewrite the equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
First, let's solve for y in the equation 7x - 4y = 12:
-4y = -7x + 12
y = (7/4)x - 3
Therefore, the slope of the line is 7/4 and the y-intercept is -3.
2. Determine the slope and y-intercept of the line y = -2x + 5.
In this equation, the slope is -2 and the y-intercept is 5. This is already in slope-intercept form where m = -2 and b = 5.
3. Calculate the slope and y-intercept of the line 2y + 4x = 8.
First, solve for y by rearranging the equation:
2y = -4x + 8
y = -2x + 4
Therefore, the slope of the line is -2 and the y-intercept is 4.
slope and y intercepts practice
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