Question

there are many (in fact, infinitely many) different ways of writing the equation of a line in point - slope form. for this question, fill in the blanks below in the most straightforward way (that is, you should directly use the numbers provided).

• an equation in point - slope form of the line with slope 4 that passes through the point (3, - 3) is

y -

• an equation in point - slope form of the line that passes through the point (8, 1) and has slope 3 is

y -

• an equation in point - slope form of the line with slope 8 that passes through the point (4, 6) is

y -

note: you can earn partial credit on this problem.

preview my answers submit answers

you have attempted this problem 0 times.

you have unlimited attempts remaining.

Explanation:

Step1: Recall point - slope formula

The point - slope form of a line is $y - y_1=m(x - x_1)$, where $(x_1,y_1)$ is a point on the line and $m$ is the slope.

Step2: First line

Given slope $m = 4$ and point $(3,-3)$. Substitute $x_1 = 3$, $y_1=-3$ and $m = 4$ into the formula: $y-(-3)=4(x - 3)$, which simplifies to $y + 3=4(x - 3)$.

Step3: Second line

Given slope $m = 3$ and point $(8,1)$. Substitute $x_1 = 8$, $y_1 = 1$ and $m = 3$ into the formula: $y - 1=3(x - 8)$.

Step4: Third line

Given slope $m = 8$ and point $(4,6)$. Substitute $x_1 = 4$, $y_1 = 6$ and $m = 8$ into the formula: $y - 6=8(x - 4)$.

Answer:

1. $y+3 = 4(x - 3)$
2. $y - 1=3(x - 8)$
3. $y - 6=8(x - 4)$