Question Type 1: Finding the equation of a straight line using a point and a y-intercept Bootcamps

Determine the equation of the line with y-intercept $-3$ passing through $(4,1)$.

Find the equation of the line with y-intercept $5$ that passes through the point $(2,11)$.

Find the equation of the line with y-intercept $4$ that passes through $(4,-8)$.

Find the equation of the line with y-intercept $0$ that goes through the point $(3,-6)$.

Write the equation of the line with y-intercept $-4$ passing through $(-2,6)$.

Find the equation of the line with y-intercept $2.5$ that passes through $(-1,0)$.

A line has y-intercept $\tfrac72$ and passes through $(1,3)$. Write its equation.

Determine the equation of the line with y-intercept $-\tfrac13$ passing through $(3,2)$.

A line has y-intercept $0.75$ and goes through $(5,2.25)$. Write its equation.

Determine the equation of the line with y-intercept $3$ passing through $\bigl(-\tfrac13,\tfrac{10}{3}\bigr)$.

Write the equation in standard form $ax+by+c=0$ of the line with y-intercept $3$ passing through $(-6,9)$.

A line has y-intercept $-5$ and passes through $\bigl(\tfrac23,-\tfrac13\bigr)$. First find its equation in slope–intercept form, then give its equation in general form $ax+by+c=0$.