Q. What is the slope of the line?y+5=2(x+1)Choose 1 answer:(A) 52(B) 51(C) 2(D) 21
Write equation in slope-intercept form: We need to find the slope of the line given by the equation y+5=2(x+1). To do this, we should first write the equation in slope-intercept form, which is y=mx+b, where m is the slope and b is the y-intercept.
Isolate on one side: Subtract from both sides of the equation to isolate y on one side. This gives us y = 222(x+111) - 555.
Distribute and simplify: Now, we simplify the right side of the equation by distributing the 222 into the parentheses: y=2x+2−5y = 2x + 2 - 5y=2x+2−5.
Combine like terms: Combine like terms on the right side of the equation to further simplify: y=2x−3y = 2x - 3y=2x−3.
Identify the slope: Now that the equation is in slope-intercept form, we can identify the slope mmm as the coefficient of xxx. The slope of the line is m=2m = 2m=2.