IB Mathematics Analysis and Approaches Question Type 5: Using Two Points to Find the Equation of a Line and the Y-intercept Exercises

Determine the gradient $m$, the equation $y=mx+c$, and the $y$-intercept for the line through $A(-4,-5)$ and $B(2,7)$.

Find the gradient $m$, equation $y=mx+c$, and $y$-intercept for the line through $A\left(-\frac{1}{3},\frac{2}{5}\right)$ and $B\left(\frac{5}{6},-\frac{1}{10}\right)$.

Find the gradient $m$, the equation $y=mx+c$, and the $y$-intercept for the line through $A\left(\frac{1}{2},3\right)$ and $B\left(\frac{5}{2},-1\right)$.

Given $A(-3,4)$ and $B(1,-8)$, determine the gradient $m$, the equation $y=mx+c$, and the $y$-intercept.

The line through $A(5,-2)$ and $B(11,1)$ has equation $y=mx+c$. Find $m$, the equation, and the $y$-intercept.

A line passes through $A(0.6,-1.2)$ and $B(2.1,3.3)$. Find the gradient $m$, the equation $y=mx+c$, and the $y$-intercept.

Given two points $A(1,2)$ and $B(5,10)$, find the gradient $m$, the equation of the line in the form $y=mx+c$, and the $y$-intercept.

Points $A(3,9)$ and $B(9,7)$ lie on a line. Find the gradient $m$, the equation in the form $y=mx+c$, and the $y$-intercept.

Given $A(0,-7)$ and $B(5,8)$, find the gradient $m$, the equation $y=mx+c$, and the $y$-intercept.

A line passes through $A(4,1.5)$ and $B(10,4.5)$. Find the gradient $m$, the equation $y=mx+c$, and the $y$-intercept.

Through $A(12,-15)$ and $B(-3,30)$, find the gradient $m$, the equation $y=mx+c$, and the $y$-intercept.

The line through $A(-4,6)$ and $B(3,6)$ is horizontal. Find the gradient $m$, the equation $y=mx+c$, and the $y$-intercept.