Question

A line has a slope of 3 and passes through the point (1, 0) . What is its equation in slope -intercept form?

Answer 1

y = 3x-3

Explanation:

From question statement, we notice that

Slope of line is given and a point is given.

We have to find the slope-intercept of equation.

slope = 3 and (x,y) = (1,0)

y = mx+c eq(1)

is slope-intercept of equation of line where m denotes slope and c is y-intercept of equation.

putting given values in slope-intercept form, we have

0 = 3(1)+c

0 = 3 +c

c = -3

hence, y-intercept is -3.

putting the value of y-intercept and slope in eq(1), we have

y = (3)x+(-3)

y = 3x-3 is slope intercept of line.

Answer 2

y=3x-3

Explanation:

we know that

the equation of the line in slope intercept form is equal to

y=mx+b

we have

m=3

point (1,0)

substitute the values and solve for b

0=3(1)+b

b=-3

the equation is equal to

y=3x-3