a line has a slope of 8 and passes through the point (1, 3). write its equation in slope - intercept form…

a line has a slope of 8 and passes through the point (1, 3). write its equation in slope - intercept form. write your answer using integers, proper fractions, and improper fractions in simplest form.

a line has a slope of 8 and passes through the point (1, 3). write its equation in slope - intercept form. write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer

Explanation:

Step1: Use the point - slope form

The point - slope form of a line is (y - y_1=m(x - x_1)), where (m) is the slope and ((x_1,y_1)) is a point on the line. Given (m = 8), (x_1=1), and (y_1 = 3), we have (y-3=8(x - 1)).

Step2: Expand the equation

Expand (y-3=8(x - 1)) using the distributive property (a(b - c)=ab-ac). So, (y-3=8x-8).

Step3: Solve for (y) (slope - intercept form (y=mx + b))

Add 3 to both sides of the equation (y-3+3=8x-8 + 3).

Answer:

(y = 8x-5)