Question

Find an equation of the line that satisfies the given conditions. through (2,3); slope 5

Answer 1

y = 5x - 7

Explanation:

Here, we are given two clues:

1. It must pass the point (2, 3)
2. It must have a slope of five

Let us put the slope into the slope intercept form.

y = 5x + b

We do not know what b is. So, we can go onto Desmos (a secure, graphing website) to see what the y-intercept is. If we do so, we see that we must move the line 7 units downwards to hit the point (2, 3). This means that the equation is:

y = 5x - 7

Hope this helps!