222k views
2 votes
NEED HELP WITH BOTH PARTS URGENTLY‼... FIND THE COORDINATES OF THE POINT WHERE y-4x=1 crosses the y-axis

THE DIAGRAM SHOWS THE GRAPH OF Y = 2x + c , where c is constant.

NEED HELP WITH BOTH PARTS URGENTLY‼... FIND THE COORDINATES OF THE POINT WHERE y-4x-example-1
User Kit Roed
by
3.5k points

1 Answer

4 votes

a) (0, 1)

The graph will cross the y-axis at the y-intercept. We can easily find this value by putting the given equation into slope-intercept form (y = mx + b).

y - 4x = 1

y = 4x + 1

The y-intercept is (0,1).

b) k = 6.5

We first need to find c, or the y-intercept. This is given to us on the graph, where the line crosses the y-axis at (0,-3).

Therefore, our line is y = 2x - 3.

Then, we can plug in 10 for y from the point (k,10) and solve for k (which is the same as x).

10 = 2x - 3

13 = 2x

x = 6.5

Hope this helps!

User Paulkernfeld
by
2.8k points