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Find the slope of an equation of a line
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Question Find the slope of the line 4y -3x +3 = 0. Answer To solve this question, we need to have some knowledge on the slope-intercept form of a line.
Line with x-intercept or y-intercept or both
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Question Does a line need to have both the x-intercept and y-intercept? Why? Answer This depends on how the line looks like. Now, if the line is
Finding the slope and y-intercept
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Question How do I find the slope and y-intercept of y=x+6? Answer To find the slope and y-intercept of this equation, we need to understand the Slope-Intercept
Find the x- and y- intercept of a linear equation
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Question Find the x-intercept and the y-intercept of the line given by the equation 9x -6y +15 = 0. Answer This basic understanding required to solve
Interpreting the slope of a line before graphing
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Question How can you tell if two equations are parallel or intersecting before graphing them? For example, do y = x or y = x + 2 intersect? Answer
Basics on drawing a graph
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Question Draw a pair of axes from –10 to +10 Answer STEP 1: The two axes can be the vertical and horizontal axes. The vertical
Finding the slope of the line: 8x + 3y = –9
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Question Find the slope of the following line: 8x + 3y = –9. Answer STEP 1: The first step to find the slope of the given line
Solve system of linear equations graphically
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Question Solve the following system of equations graphically: y=-x+4 and y=x-2 Answer STEP 1: The given equations represent
Find the equation of the line as described below
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Question Find the equation of the line passing through (–4, 6) and parallel to the line y = 3x + 8. Answer STEP 1: You are given
Effects of changing the slope and the y-intercept
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Question Using y = 3x + 1, find the equation of a second line by multiplying the slope by 2 and shifting the line down by 3 units. Answer STEP 1:
Point on the Coordinate Plane
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Question Where is the point (-4, 1 / 2 ) located in the coordinate plane? Answer The coordinates of a point is expressed in the form of ( x , y ),
Find an equation for a line given the slope and a point
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Question Find an equation for a line with a slope of 2/3 and passing through (1, –4). Answer STEP 1: We are given the slope and
Find the x-intercept and y-intercept
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Question Find the x- and y- intercepts of the line using these coordinates, (–2, –5) and (6, 1). Answer STEP 1: Before getting
Using the slope formula to prove that a point is on the line AB
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Question Prove that the straight line passing through A(2,3) and B(-4,-6) passes through the origin. Answer Let's do a quick sketch of the points,