Question

Identify an equation in slope-intercept form for the line parallel to y = 4x - 9

that passes through (-5,3).
O A. y = 4x - 23
ОВу
O B. y - 1x+45
4x
O c. y = 4x+23
O D. y= - 4x + 7

Answer 1

`\rule{300}{1}\\\dashrightarrow\large\textsf{\textbf{\underline{Given question:-}}}`

Identify an equation in slope-intercept form for the line parallel to y = 4x - 9

that passes through (-5,3).

`\dashrightarrow\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}`

If lines are parallel to each other, they have the same slope.

If a line is parallel to
`\bold{y=4x-9}`, and the slope of this line is 4, then the slope of the line that's parallel to
`\bold{y=4x-9}` also has a slope of 4.

All right, we know the slope, but that's part of the slope-intercept equation,

We also need to identify the y-intercept; one way to find it (the one I always use) is the point-slope form.

Point-slope form looks like so:-

`\longmapsto\sf{y-y_1=m(x-x_1)}`

Replace y1 with 3, m with 4, and x1 with -5:-

`\longmapsto\sf{y-3=4(x-(-5)}`

On simplification,

`\longmapsto\sf{y-3=4(x+5)}`

On further simplification,

`\longmapsto\sf{y-3=4x+20}`

On further simplification,

`\longmapsto\sf{y=4x+20+3}`

Final equation:-

`\longmapsto\sf{y=4x+23}`

Good luck with your studies.

`\rule{300}{1}`

Answer 2

c. y=4x+24

Explanation:

To identify the equation, the equation must satisfy the points (-5,3).

putting x as -5 should give us y=3

c. y = 4x + 23

y = 4 * (-5) + 23

y = -20 + 23

y = 3