Question

If a line crosses the y-axis at (0, 1) and has a slope of '4/5 , what is the equation of the line?

Answer 1

Answer:

$y = \frac{4}{5}x + 1$

Explanation:

A line has a general equation of

$y = mx + b$

where b is the y-intercept and slope of m.

Since $(0,1)$ is the value of y when $x = 0$, it is the point of intersection of the line with the y-axis, hence the y-intercept is $b=1$.

We are given the slope is $m = \frac{4}{5}$

So the equation of the line is

$y = \frac{4}{5}x + 1$