What is the slope of the straight line, 2y=−4x+7
Question
What is the slope of the straight line, 2y=−4x+7
Solution
To find the slope of the line given by the equation 2y = -4x + 7, we first need to rewrite the equation in the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
Step 1: Divide every term in the equation by 2 to isolate y:
2y/2 = -4x/2 + 7/2
This simplifies to:
y = -2x + 7/2
Step 2: Identify the slope:
In the equation y = -2x + 7/2, the coefficient of x is the slope. Therefore, the slope of the line is -2.
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