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 choicesy=3x+1y=3xy=3x-3y=3x+3
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.
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