Question

Find the equation of the line with Slope = 5 and passing through (4,24). Write your equation in the form y=mx+b

Answer 1

Answer:

$y=5x+4$

Step-by-step explanation:

We know that we'll have to manipulate the equation $y=mx+b$, so we can start there.

$m$ stands for the gradient of the function (or slope) and $b$ stands for the y-intercept of the function (the y value where the line touches the vertical line (y axis)).

Since we know that $m$ stands for the slope and that the slope in this problem is 5, we can plug it into the original equation and we'll get

$y=5x+b$

We also know that this line passes through the point (4,24). This means that it passes through the point where x = 4 and y = 24. If we plug in these values into the equation that we made above, we can solve for b.

$24 = 5\cdot 4 + b\\24 - 20 = b \\b = 4$

Now that we know what b is, we can plug it into $y=5x+b$ and we'll get

$y=5x+4$

Good luck!