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Find the slope-intercept form of a line passing through point (1,3) with slope 3.Group of answer choicesy=3x+1y=3xy=3x-3y=3x+3

Question

Find the slope-intercept form of a line passing through point (1,3) with slope 3.

Group of answer choices
y = 3x + 1
y = 3
y = 3x - 3
y = 3x + 3

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Solution

To find the slope-intercept form of a line passing through point (1,3) with slope 3, we can use the formula y = mx + b, where m represents the slope and b represents the y-intercept.

Step 1: Substitute the given slope into the formula. y = 3x + b

Step 2: Substitute the coordinates of the given point (1,3) into the equation to find the value of b. 3 = 3(1) + b

Step 3: Simplify the equation. 3 = 3 + b

Step 4: Solve for b. b = 3 - 3 b = 0

Step 5: Substitute the value of b back into the equation. y = 3x + 0

Step 6: Simplify the equation. y = 3x

Therefore, the slope-intercept form of the line passing through point (1,3) with slope 3 is y = 3x.

This problem has been solved

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