Question

What is the answer of (1, 9); slope 4 on a graph?

Answer 1

y=4x+5

Explanation:

Slope intercept form is y=mx+b. m is slope and b is the y-intercept. The first thing you need to do is substitute the numbers you have into the equation: 9=4(1)+b.

Then you simplify: 9=4+b.

Now you need to figure out b. Ask yourself, what plus 4 equals 9? The answer is 5.

Next, you take the numbers for x and y out of the equation and replace them with letters: y=4x+5. That's your answer.

Answer 2

y = 4x + 5

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4, thus

y = 4x + c ← is the partial equation

To find c substitute (1, 9) into the partial equation

9 = 4 + c ⇒ c = 9 - 4 = 5

y = 4x + 5 ← equation of line