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
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.
Similar Questions
1-Use the point-slope form of the equation to identify a point the line passes through and the slope of the line. y-1=5(x-3)
Find the equation in slope-intercept form for the line passing through the points with the given coordinates. (−2,−3),(1,4)
What is an equation for the line that passes through the points (–2, 3) and (2, 1)?
Find the slope of the line that passes through (1, -3) and (3, 5). Then graph the line.
Write the point-slope form of the equation with the given slope that passes through the indicated point. The line with slope 3 passing through (1, 4)
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.