A straight line goes through the point (7, 5) with a slope of 2. What is the equation of the line?

Th equation of a line is denoted as y = mx + c, with m as the slope and c as the y intercept. We already know that the slope is 2. Since the line passes through the point (7, 5) we can input these values for x and y into the equation.Thus, 5 = 2(7) + c.Solving for c then gives c = 5 - 2(7) = 5 - 14 = -9.Now that we have the y intercept, we can write the full equation of the line.y = 2x - 9

CC

Related Maths GCSE answers

All answers ▸

How do you solve quadratic and linear simultaneous equations?


Solve the quadratic equation x^2 + x - 20 = 0


The circle c has equation x^2+y^2 = 1 . The line l has gradient 3 and intercepts the y axis at the point (0, 1). c and l intersect at two points. Find the co-ordinates of these points.


Work out the value of (√3 )² x (√2 )²