Select the slope-intercept form of an equation for a line with y-intercept –5 and slope 2.
A. x = 2x + 5
B. y = 2x – 5
C. y = 5x – 2
D. y = –5x + 2
Answers
Answer:
B
Step-by-step explanation:
slope-intercept form ⇒ y = mx + b
⇒ where mx is the slope,
⇒ b is the y-intercept
⇒According to the question;
mx which is the slope = 2
b the y-intercept = -5
∴ the equation is
y = 2x - 5
Option B
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The slope-intercept form of an equation for a line with y-intercept –5 and slope 2 is y = 2x - 5.
To find : The slope-intercept form of an equation for a line with y-intercept –5 and slope 2.
Given :
y-intercept = - 5.
Slope ( m ) = 2.
General equation of slope-intercept is,
y = mx + b. -----> ( 1 )
Here, "x" and "y" are the variables.
"m" is the slope.
"b" is the y-intercept.
Applying the values of y-intercept and slope in the equation ( 1 ), we get
y = mx + b
y = 2 x + ( - 5 )
y = 2 x - 5
Therefore, the option ( B ) y = 2 x - 5 is the correct answer.
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