Question

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Answer 1

• (1,-3)
• (0,4)

Slope:-

$\\ \rm\rightarrowtail m=\dfrac{4+3}{-1}=\dfrac{-7}{1}=-7$

Equation in slope intercept form

$\\ \rm\rightarrowtail y-4=-7(x)$

$\\ \rm\rightarrowtail y=-7x+4$

Answer 2

Answer:

$y=-7x+4$

Step-by-step explanation:

Formulae

Slope-intercept form of a linear function: $y = mx + b$

(where $m$ is the slope and $b$ is the y-intercept)

Point-slope form of a linear function:  $y-y_1=m(x-x_1)$

(where $m$ is the slope and $(x_1,y_1)$  is a point on the line)

Slope formula

$\textsf{slope}=\dfrac{y_2-y_1}{x_2-x_1}$

(where $(x_1,y_1)$ and $(x_2,y_2)$ are points on the line)

Solution

Choose 2 points on the line:

• Let $(x_1,y_1)$ = (0, 4)
• Let $(x_2,y_2)$ = (1, -3)

Find the slope using the slope formula:

$\implies \textsf{slope}=\dfrac{-3-4}{1-0}=-7$

Substitute found value for $m$ and point (0, 4) into the point-slope formula:

$\implies y-4=-7(x-0)$

$\implies y=-7x+4$