Question

Through: (1,1), slope =5

Answer 1

y = 5x - 4

Explanation:

For this question, use the slope-intercept formula: y=mx+b

y=mx+b ==> 1 = (5)(1) + b ==> plugin point (x=1, y=1) and m=5; m is the slope

1 = 5 + b ==> solve for b

-4 = b ==> subtract 5 on both sides

y = 5x + (-4) ==> plugin -4 for b in the equation y=mx+b

y = 5x - 4 <== simplified equation

Answer 2

• The line is y = 5x - 4

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The line has a slope of 5 and passes through the point (1, 1).

Use point-slope form:

• y - y₁ = m(x - x₁)

Substitute coordinates:

• y - 1 = 5(x - 1)

Convert the equation into slope-intercept form:

• y - 1 = 5x - 5
• y = 5x - 5 + 1
• y = 5x - 4