QuestionGraph the equation $-2x + 2y = -4$ using its intercepts.

Studdy Solution

STEP 1

Assumptions1. The given equation is $-x +y = -4$ . We need to draw the graph of this equation using its intercepts

STEP 2

First, we need to find the x-intercept of the equation. The x-intercept is the point where the line crosses the x-axis, which means $y =0$ .
$-2x +2(0) = -4$

STEP 3

olve the equation for $x$ to find the x-intercept.
$-2x = -$

STEP 4

Divide both sides of the equation by $-2$ to isolate $x$ .
$x = -4 / -2$

STEP 5

Calculate the value of $x$ .
$x = -4 / -2 =2$ So, the x-intercept is $(2,0)$ .

STEP 6

Next, we need to find the y-intercept of the equation. The y-intercept is the point where the line crosses the y-axis, which means $x =0$ .
$-2(0) +2y = -4$

STEP 7

olve the equation for $y$ to find the y-intercept.
$2y = -4$

STEP 8

Divide both sides of the equation by $2$ to isolate $y$ .
$y = -4 /2$

STEP 9

Calculate the value of $y$ .
$y = -4 /2 = -2$ So, the y-intercept is $(, -2)$ .

STEP 10

Now that we have the x-intercept and y-intercept, we can plot these two points on a graph.

STEP 11

Draw a line through the two points to represent the equation $-x +y = -4$ .

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