Equations of linear graphs: แบบฝึกหัด

State the equation of the straight line that is parallel to the \(x\)-axis and passes through the point \((-4, 9)\).

Find the equation of the straight line passing through the points \((1, 5)\) and \((4, -1)\).
Give your answer in the form \(y = mx + c\).

The point \(A\) has coordinates \((-3, 8)\) and point \(B\) has coordinates \((5, -2)\).
Find the equation of the line that is perpendicular to \(AB\) and passes through the point \((0, 4)\).

A straight line is parallel to the x-axis and passes through the point \((-7, -3)\).
Find the equation of this line.

A line \(L\) passes through the points \(A(4, 7)\) and \(B(8, 10)\).
Find the equation of line \(L\) in the form \(ax + by = c\), where \(a\), \(b\), and \(c\) are integers and \(a > 0\).

A straight line is parallel to the y-axis and passes through the point \((-7, 3)\).
State the equation of this line.

Find the equation of the straight line that is parallel to the line $$y = -2x + 5$$ and passes through the point $$(3, 1)$$.

Identify the gradient and the \(y\)-intercept of the straight line represented by the equation \(y = 8 - 5x\).