Find the equation of a line that has the same slope as y = 6 - 2x and the same y-intercept as y= "-10x" – 4.

Mathematics

2 answers:

Tresset [83]2 years ago

4 0

Step-by-step explanation:

slope of y=6-2x=> -2 as it is in the form (y=mx+c )

y intercept of y=-10x-4=-4(as it in the form y=mx+c ,c is intercept made by y-axis)

so equation of line having-4 as y intercept and slope as -2 will be given by (intercept slope form):

that is y=mx+c

=> y= -2x-4=> 2x+y+4=0 is equation of required line

Mkey [24]2 years ago

3 0

Answer:

y = - 2x - 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6 - 2x = - 2x + 6 ← is in slope- intercept form

with slope m = - 2

y = - 10x - 4 ← is in slope- intercept form

eith y- intercept c = - 4

then

y = - 2x - 4 ← is the equation of the required line

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6 points

kodGreya [7K]

Answer:

$y=-2\,(x+3)^2-3$

Step-by-step explanation:

Notice that they are asking you to write the equation of the parabola in vertex form, that is using the coordinates of the vertex $(x_v,y_v)$ in the expression:

$y-y_v=a\,(x-x_v)^2\\y=a\,(x-x_v)^2+y_v$

we can start by directly replacing the given vertex coordinates (-3, -3) in the expression, and then using the extra info on the point the parabola goes through in order to find the parameter $a$ :