Question

Write the equation of the line, in slope-intercept form, through the

following two points:
(-14, 17)
(-10, 41)

Answer 1

y=6*x+101

Explanation:

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

Hope this will helps

Answer 2

y=6*x+101

Explanation:

Slope intercept form is y=mx+n, where m is the slope and n is the intercept.

Substituing in that equation the two points we get two different expressions. Now we have to solve a 2x2 system of equations.

I decide to solve it through substraction (literally one expression minus the other). That way we cancel out the n and obtain the value of m.

Now that we have m we plug in the value of m in one of the expressions to obtain the value of n.

To express the final equation we just plug in the values of m and n in the expression y=mx+n!