No I mean question (A)

April 14, 2026Mathematics

ScanSolve AI Answer

Answer

y = 2x - 1

3 steps

a) A line passes through the points $(2, 3)$ and $(4, 7)$. Find the equation of the line.

Calculate the gradient (slope) $m$ using the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$ .
Given points are $(x_1, y_1) = (2, 3)$ and $(x_2, y_2) = (4, 7)$ .
$m = \frac{7 - 3}{4 - 2}$ $m = \frac{4}{2}$ $m = 2$
Use the point-slope form of a linear equation, $y - y_1 = m(x - x_1)$ , with one of the points, for example, $(2, 3)$ , and the calculated gradient $m=2$ .
$y - 3 = 2(x - 2)$
Simplify the equation to the slope-intercept form $y = mx + c$ .
$y - 3 = 2x - 4$ $y = 2x - 4 + 3$ $y = 2x - 1$