Question Video: Finding the 𝑦-Intercept of a Straight Line Equation | Nagwa Question Video: Finding the 𝑦-Intercept of a Straight Line Equation | Nagwa

# Question Video: Finding the π¦-Intercept of a Straight Line Equation Mathematics • Third Year of Preparatory School

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Find the coordinates of the point where π¦ = 4π₯ +12 intersects the π¦-axis.

01:30

### Video Transcript

Find the coordinates of the point where π¦ equals four π₯ plus 12 intersects the π¦-axis.

So in this question, weβre given the equation of a straight line in slope-intercept form. And weβre asked for the coordinates of the point where it intersects the π¦-axis. What this question is checking then is do we understand slope-intercept form and what the different parts of the equation represent. Remember that slope-intercept form is π¦ equals ππ₯ plus π, where π represents the π¦-intercept of the straight line, which is what weβre looking for here. The π¦-intercept is the point where the line intersects the π¦-axis. So we can see by comparing the general form and the specific straight line that we have, the value of π here is 12.

But the question doesnβt just ask us for the value of π; it asks us for the coordinates of this point. So the π¦-intercept remember is a point on the π¦-axis. Weβve just worked out its π¦-coordinate; itβs this value of 12. To work out the π₯-coordinate, we just need to remember that at every point on the π¦-axis the π₯-coordinate is zero. You could perhaps see this more clearly by picturing what the graph would look like as Iβve done here. So the coordinates of this point then are going to be zero, 12. And that is our final answer to this question.

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