Answer to Question #169015 in Algebra for khloe

Question

find the equation of a line that has a gradient of 3 and poassess through the point A(1,7)

Answer 1

$y = kx + b$ is an equation of a line, where $k$ is the slope (or gradient) and $b$ is the $y$ -intercept;

$k = 3$ by condition $\Rightarrow$ $y = 3x + b$ .

Since the line passes through the point $A (1,7)$ , then we substitute the coordinates of the point into the equation: $7 = 3 \cdot 1 + b \Rightarrow b = 7-3 =4$ $\Rightarrow$ The equation of a line is $y = 3x + 4$ .