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Write an equation in slope-intercept form for the line with slope 2 and y-intercept 5. Then graph the line.

2 Answers

6 votes
Answer: y= 2x + 5

See image attached
Write an equation in slope-intercept form for the line with slope 2 and y-intercept-example-1
User Neil Best
by
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9 votes

Answer:

y = 2x + 5

Explanation:

Slope-intercept form: y = mx + b

where:

  • m is the slope
  • b is the y-intercept (when x = 0)

Given: a line with a slope of 2, and y-intercept of 5

Equation: y = 2x + 5

  • y-intercept: (0, 5)

Randomly select y-values that will help you graph the equation:

when y = -9:

-9 = 2x + 5 [subtract 5 from both sides]

-9 - 5 = 2x

-14 = 2x [divide both sides by 2]

-14 ÷ 2 = 2x ÷ 2

-7 = x

coordinate: (-7, -9)

when y = -5:

-5 = 2x + 5 [subtract 5 from both sides]

-5 - 5 = 2x

-10 = 2x [divide both sides by 2]

-10 ÷ 2 = 2x ÷ 2

-5 = x

coordinate: (-5, -5)

when y = -1:

-1 = 2x + 5 [subtract 5 from both sides]

-1 - 5 = 2x

-6 = 2x [divide both sides by 2]

-6 ÷ 2 = 2x ÷ 2

-3 = x

coordinate: (-3, -1)

when y = 3:

3 = 2x + 5 [subtract 5 from both sides]

3 - 5 = 2x

-2 = 2x [divide both sides by 2]

-2 ÷ 2 = 2x ÷ 2

-1 = x

coordinate: (-1, 3)

With these coordinates, graph them on a coordinate plane and draw a straight line through them. That should be the graph of the equation.

Write an equation in slope-intercept form for the line with slope 2 and y-intercept-example-1
User Pankaj Tiwari
by
7.5k points