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QuestionFind the xx and yy intercepts of the equation and graph it: 0.7x+0.8y=5.60.7 x + 0.8 y = 5.6.

Studdy Solution

STEP 1

Assumptions1. The equation of the line is 0.7x+0.8y=5.60.7x +0.8y =5.6 . We are looking for the x-intercept and y-intercept of this line3. The x-intercept is the point where the line crosses the x-axis (at this point, y =0)
4. The y-intercept is the point where the line crosses the y-axis (at this point, x =0)

STEP 2

First, let's find the x-intercept. We can do this by setting y =0 in the equation and solving for x.
0.7x+0.8(0)=5.60.7x +0.8(0) =5.6

STEP 3

implify the equation to find the value of x.
0.7x=5.60.7x =5.6

STEP 4

To isolate x, divide both sides of the equation by0.7.
x=.60.7x = \frac{.6}{0.7}

STEP 5

Calculate the value of x.
x=5.0.7=8x = \frac{5.}{0.7} =8So, the x-intercept is8.

STEP 6

Next, let's find the y-intercept. We can do this by setting x =0 in the equation and solving for y.
0.(0)+0.8y=5.60.(0) +0.8y =5.6

STEP 7

implify the equation to find the value of y.
0.y=5.60.y =5.6

STEP 8

To isolate y, divide both sides of the equation by0.8.
y=5.60.8y = \frac{5.6}{0.8}

STEP 9

Calculate the value of y.
y=5.6.8=7y = \frac{5.6}{.8} =7So, the y-intercept is7.

STEP 10

Now, let's graph the equation. Plot the x-intercept (8,0) and the y-intercept (0,7) on the graph. Draw a line through these points. The line represents the equation 0.7x+0.8y=5.60.7x +0.8y =5.6.
The x-intercept is8 and the y-intercept is7.

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