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

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 $(4,1)$.

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

Determine the equation of the line with y-intercept $3$ passing through $\left(-\frac{1}{3}, \frac{10}{3}\right)$.

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

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

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

Determine the equation of the line with y-intercept $-\frac{1}{3}$ passing through $(3, 2)$.

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

A line has $y$-intercept $-5$ and passes through the point $\left(\frac{2}{3}, -\frac{1}{3}\right)$. Find the equation of the line in the form $y = mx + c$. Hence, express the equation in the form $ax + by + c = 0$, where $a, b, c \in \mathbb{Z}$.

A line has $y$-intercept $\frac{7}{2}$ and passes through the point $(1,3)$. Find the equation of the line.

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