Question

What is the y-intercept of the straight line with a gradient

of 2 that passes through the point (5, 14)?
Give your answer as an integer or as a fraction in its
simplest form.

Answer 1

To find the y-intercept, we substitute the gradient and a point into the slope-intercept form of a linear equation and solve for the y-intercept.

Step-by-step explanation:

To find the y-intercept of a straight line, we can use the slope-intercept form of a linear equation, which is y = mx + b. Here, 'm' represents the gradient of the line and 'b' represents the y-intercept. Given that the gradient is 2, we can substitute this value into the equation as follows: y = 2x + b. Next, we substitute the coordinates (5, 14) into the equation to find 'b'. So, 14 = 2(5) + b.

Simplifying the equation, we get 14 = 10 + b. Subtracting 10 from both sides of the equation, we find b = 4.

Therefore, the y-intercept of the straight line is 4.

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