Line mn passes through points m4, 3) and m7, 12). if the equation of the line is written in slope-intercept form, y-mx+ b, what is the value of b?

Step-by-step explanation:

The slope-intercept form of an equation of a line:

m - slope

b - y-intercept

The formula of a slope:

We have the points M(4, 3) and N(7, 12). Substitute:

Therefore we have the equation:

Put the coordinates of the point M to the equation:

           subtract 12 from both sides

c. side angle side. u shares the same sides

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!