A straight line has the equation 𝑦 minus three 𝑥 minus five equals zero. Circle the 𝑦-intercept of the line: five, negative five, three, or negative
So we are given that we’re working with a straight line. And a straight line will have the equation form of 𝑦 equals 𝑚𝑥 plus 𝑐, where 𝑚
is the gradient of the line, the slope of the line, and 𝑐 is the 𝑦-intercept of
the line, where this line, if it were graphed, it would cross the 𝑦-axis here.
So here’s our equation. We need to put it in the right form. So we need to move the negative three 𝑥 and the negative five, because we need 𝑦 to
be isolated, all by itself. So we need to add three 𝑥 to both sides of the equation and add five to both sides
of the equation. This way, we only have 𝑦 on the left-hand side.
Now we have zero plus three 𝑥 plus five. So three 𝑥 is just three 𝑥. And then zero and five we can combine to be five. So if 𝑦 equals three 𝑥 plus five is the equation of our straight line, the
𝑦-intercept would be found here at the end of the equation. It’s the constant number, so five. Therefore, the number that we have circled is five.