Question

Graph the line with slope -3\4 passing through the point (4,-1)

Answer 1

y = -3/4x + 2

In the graph, you can see that the line cross the y axis at (0,2) . We say that the y-intercept is 2. Then from the point of (0,2), if you go down 3 and 4 to the right, you land on the point (4,-1). That is the slope (-3/4) or the steepness of the line.

Explanation:

First, find the equation of the line . I am going to find the slope-intercept form

y = mx + b

m is the slope and b is the y-intercept. The x is the input number and the y is the output number.

from the point, use 4 as x

from the point use -1 as y

use the slope -3/4 for m

y = mx + b Substitute in the numbers that I know.

-1 = (-3/4)(4) + b Solve for b

-1 = -3 + b Add 3 to both sides

2 = b

y = -3/4 x + 2

Helping in the name of Jesus.

Answer 2

`y=-(3)/(4)x+2`

Explanation:

Use point-slope form

`y-y_1=m(x-x_1)\\y-(-1)=-(3)/(4)(x-4)\\y+1=-(3)/(4)x+3\\y=-(3)/(4)x+2`